M. Burgin

S C I E N T I F I C    P U B L I C A T I O N S           

 

M A T H E M A T I C S                         

Books and booklets are in bold letters                

 

1.     Imbedding a group amalgam with some  property into a group with the same property, Mathematics of the USSR - Sbornik, 1967, v.3, No. 1 (v.74, No. 1), pp. 147-160     (translated from Russian)

2.     Imbedding an amalgam of groups into a group,  VIII All-Union Colloquium on General  Algebra, Riga, 1967, p. 21     (in Russian)

3.     Categories with involution and correspondences in g-categories, IX All-Union Algebraic Colloquium, Gomel, 1968, pp.34-35      (in Russian)

4.     Generalized free and permutation products of groups, IX All-Union Algebraic Colloquium, Gomel, 1968, pp. 36-37       (in Russian)

5.     Some properties of the generalized free products and imbedding of group amalgams, Math. of the USSR - Sbornik, 1969, v. 5, No. 1 (v. 80, No. 2) , pp. 162-180      (translated from Russian)

6.     The Freiheitssatz in some varieties of linear W-algebras and  W-rings,  Russian Mathematical Surveys, 1969, v. 24, No. 1, pp. 27-38       (translated from Russian)

7.     g-categories and categories with involution, Russian Mathematical Surveys, 1969, v. 24, No. 2, pp. 221-222       (in Russian)

8.     P-products of linear  W-algebras,   X All-Union Algebraic Colloquium, Novosibirsk, 1969,      pp. 84-85         (in Russian)

9.     Principal objects in abelian categories and the related torsion, X All-Union Algebraic Colloquium, Novosibirsk, 1969, pp. 107-108        (in Russian)

10.  Categories of relations over semiabelian categories,   Notices of the Academy of Sciences of the USSR, 1969, v. 10 (v. 189, No. 6) , pp. 1174-1176         (translated from Russian)

11.  Gruppoid of linear   W-algebras varieties, Russian Mathematical Surveys, 1970, v. 25, No. 3, pp. 263-264        (in Russian)

12.  Homological algebra in  G-primitive g-categories, Doklady of the Academy of Science of Belorussia, 1970, v. 14, No. 7, pp. 585-587        (in Russian)

13.  Permutational products of linear  W-algebras,  Soviet Math. Izvestiya, 1970, v. 4, No. 3, pp. 977-999     (translated from Russian) 

14.  Categories with involution and relations in g-categories, Transactions of the Moscow Mathematical Society, 1970, v. 22 (1972) , pp. 161-228  (translated from Russian, AMS, 1972)

15.  Free epimorphic images of free linear   W-algebras, Conference on Algebra, Mathematical Logic and Computational Mathematics, Ivanovo, 1970, pp. 105-106        (in Russian)

16.  Linear  W-algebras with zero grade identities,  XI All-Union Algebraic Colloquium,  Kishinev, 1971, pp. 243-244     (in Russian)

17.  Some problems of the theory of  topological algebras,   XI All-Union Algebraic Colloquium, Kishinev, 1971, pp. 244-245           (in Russian)

18.  Free decompositions with a common subobject,  XI All-Union Algebraic Colloquium, Kishinev,   1971, pp. 245-246         (in Russian)

19.  Wreath products of linear W-algebras,   Mathematics, Izvestiya VUZOV, 1971, No.6, pp. 9-17  (translated from Russian: Soviet Mathematics, 1971, v. 15, No. 6)

20.  Correspondences, central ideals  and homological algebra in g-categories,  Moscow State University, 1971, 24 p. (in Russian)

21.  Free topological groups and universal algebras,  Notices of the Academy of Sciences of the USSR, 1972, v. 204, No. 1, pp. 9-11         (translated from Russian: 1972, v. 13, No. 3)

22.  Free quotients of free linear  W-algebras, Matematicheskiye Zametki, 1972, v. 11, No. 5, pp. 537-544   (translated from Russian)

23.  Schreier varieties of linear  W-algebras, Russian Mathematical Surveys, 1972, v. 27, No. 5, pp. 227-228    (in Russian)

24.  Linear  W-algebras over commutative rings and attainable varieties,  Vestnik of the Moscow University, 1972, v. 27,  No. 2, pp. 56-63     (in Russian)

25.  Some properties of subalgebras in varieties of linear  W-algebras,   Soviet Mathematics -  Sbornik, 1972, v. 12, No. 1 (v. 87, No. 1) , pp .67-82       (translated from Russian, in collaboration) 

26.  Subalgebras of the free topological algebras,  VI All-Union Topological Conference,  Tbilisi, 1972, pp. 24-25      (in Russian)

27.  Topological algebras with continuous operations, VI All-Union Topological Conference, Tbilisi, 1972, pp. 25-26      (in Russian)

28.  Linear  W-algebras and the Freiheitssatz, Vestnik of the Moscow University, 1972, v.27, No. 5, pp. 72-77   (in Russian)

29.  Central extensions in g-categories, Notices of the Academy of Sciences of the USSR, 1972, v. 205, No. 5 , pp. 1019-1021   (translated from Russian: 1972, v. 13, No. 4)

30.  Free products of linear W-algebras, Russian Mathematical Surveys, 1973, v. 28, No. 6, p. 195   (in Russian)

31.  Topological algebras with continuous operations, Notices of the Academy of Sciences of the USSR, 1973, v. 213, No. 3, pp. 505-508     (translated from Russian)

32.  Subalgebras of the free products of linear W-algebras, Transactions  of  the Moscow Mathematical Society, 1973, v. 29  (1976) , pp. 101-117          (translated from Russian, AMS, 1976)

33.  Malcev postulate for the free products of topological groups, III All-Union Symposium for general topology, Tiraspol, 1973, p.21    (in Russian)

34.  Schreier varieties of linear algebras, Soviet Mathematics - Sbornik, 1974, v. 22, No. 4  (v. 93, No. 4), pp. 555-573                   (translated from Russian)

35.  Free products in the varieties of  groups, Vestnik of the Moscow University, 1974, No. 3, p. 105    (in Russian)

36.  Kurosh varieties of linear  algebras,  II All-Union Symposium on the theory of rings, modules and algebras, Tiraspol, 1974, p. 11    (in Russian)

37.  Topological linear  W-algebras,  II All-Union Symposium on the theory of rings, modules and algebras, Tiraspol, 1974, p. 12     (in Russian)

38.  S-bounded products of linear W-algebras, Matematicheskiye Issledovaniya, 1974, v. 16, No. 3, pp. 39-52   (in Russian)

39.  The cancellation law and accessible classes of linear W-algebras, Matematicheskiye Zametki, 1974, v. 13, No. 6, pp. 467-478   (translated from Russian)

40.  Free products in group varieties,  Russian Mathematical Surveys, 1974, v.29, No. 6, pp. 159-160     (in Russian)  

41.  Identities in linear  W-algebras,  Vestnik of the Moscow University, 1975, No.4, p. 117         (in Russian)

42.  Linear  W-algebras,   Russian Mathematical Surveys, 1975, v. 30, No. 4, pp. 61-106              (translated from Russian, in collaboration) 

43.  The set of Schreier varieties of linear  W-algebras, Vestnik of the Moscow University, 1976, No. 3, p. 130       (in Russian)

44.  Multiplication of varieties of linear  W-algebras,   Mathematics, Izvestiya VUZov, 1976, No. 5, pp. 3-14         (translated from Russian: Soviet Mathematics, 1976, v. 20, No. 5)

45.  Varieties of linear  W-algebras, Russian Mathematical Surveys, 1976, v. 31, No. 4, pp. 255-256    (in Russian)

46.  Relative closures and preclosures on sets,   Vestnik of the Moscow University, 1976, No. 6, p. 121    (in Russian, in collaboration) 

47.  Free subalgebras of topological algebras, Notices of the Academy of Sciences of the USSR, 1976, v. 17, No. 5  (v. 229, No. 3), pp. 534-537  (translated from Russian)

48.  Non-classical models of natural numbers, Russian Mathematical Surveys, 1977, v. 32, No. 6, pp. 209-210        (in Russian)

49.  Some properties of the set of Schreier varieties of linear W-algebras,   Notices of the American Mathematical Society, 1979, v.26, No. 2

50.  Free sums of principal objects, Notices of the American Mathematical Society, 1979, v.26, No. 3

51.  Compactly generated algebras with continuous operations, International Topological Conference, Moscow, 1979, p. 29           (in Russian)

52.  Algebras with continuous systems of operations freely generated by  kw-spaces, IV Symposium on General Topology, Tiraspol, 1979, pp. 147-151     (in Russian)

53.  Preclosures  and  closures of relations,  in "Problems  of  optimal algorithm realization", Kiev, 1979, pp. 19-35     (in Russian, in collaboration) 

54.  Representation of linear W-algebras as products, Mathematics: Izvestiya VUZov, 1980, v. 24, No. 10, pp. 6-14        (translated from Russian: Soviet Mathematics, 1980, v. 24, No. 10, pp.1-12)

55.  Free algebras with continuous systems of operations, Russian Mathematical Surveys, 1980, v.35, No. 3, pp. 147-151     (translated from Russian)

56.  Reduction of algebras with infinite sets of operations, Abstracts presented to the American Mathematical Society, 1980, v. 1, No. 4

57.  Some toirsions in abelian categories with principal objects, Abstracts presented to the American Mathematical Society, 1980, v. 1, No. 5

58.  Dual arithmetics, Abstracts presented to the American Mathematical Society, 1980, v. 1, No. 6

59.  Kurosh varieties of linear W-algebras, in "Problems of group theory and homological algebra", Yaroslavl, 1981, pp. 17-27      (in Russian)

60.  Some generalizations of the theorems of Cauchy and d'Alembert, Abstracts presented to the American Mathematical Society, 1981, v. 2, No. 1

61.  Decision problems for linear W-algebras,   Abstracts presented to the American Mathematical Society, 1981, v. 2, No. 2

62.  Generalized Freiheitssatz in linear W-algebras with graded presentation, Abstracts presented to the American Mathematical Society, 1981, v. 2, No. 3

63.  Residual properties of linear W-algebras, Abstracts presented to the American Mathematical Society, 1981, v. 2, No. 6

64.  Schreier and Kurosh varieties of Lie triple systems, Abstracts presented to the American Mathematical Society, 1981, v. 2, No. 7

65.  Operations induced by replic complete classes of linear  W-algebras,   XVI All-Union Algebraic Conference, Leningrad, 1981, pp. 20-21      (in Russian)

66.  On autoprojective principal objects,   Abstracts presented to the American Mathematical Society, 1982, v. 3, No. 2

67.  Decompositions of principally q-generated objects, Abstracts presented to the American Mathematical Society, 1982, v. 3, No. 3

68.  Subsemigroups of free products in  varieties  of semigroups, Abstracts presented to the American Mathematical Society, 1982, v. 3, No. 5

69.  Named sets and their subsets,     VI All-Union Conference in Mathematical Logic, Tbilisi, 1982, p. 25       (in Russian, in collaboration)

70.  Algorithmic problems in linear algebras, All-Union Symposium on Theory of Rings, Modules and Algebras, Novosibirsk, 1982, pp. 24-25        (in Russian)

71.  Principally generated objects in abelian categories, XVII All-Union Algebraic Conference, Minsk, 1983, pp. 33-34       (in Russian)

72.  Extensions of Relations, in "Mathematical Linguistics and Theory of Algorithms,"  Kalinin,  1983, pp. 5-12      (in Russian)

73.  Operators of closure for relations and binary operations,  in "Operation research and Automated Control Systems," Kiev, 1983, pp. 20-29         (in Russian, in collaboration)

74.  Subobjects in the categories of named sets,  Abstracts presented to the American Mathematical Society, 1983, v. 4, No. 2     (in collaboration)

75.  On Greg's paradox in taxonomy,   Abstracts presented to the American Mathematical Society, 1983, v. 4, No. 3

76.  Named sets and their categories, Abstracts presented to the American Mathematical Society, 1983, v. 4, No. 3    (in collaboration)

77.  Named power-sets,   Abstracts presented to the American Mathematical Society, 1983, v. 4, No. 4            (in collaboration)

78.  Multicardinals, Abstracts presented to the American Mathematical Society, 1983, v. 4, No. 7

79.  Some properties of abelian categories with principal objects, Theory of Semigroups and its Applications,  Saratov, 1983, v. 6, pp. 99-112       (in Russian)

80.  Representation of Algebraic and Topological Constructions by Means of Generalized Connected Relations,  in  "Properties of Semigroups," Leningrad, 1984, pp. 15-25        (in Russian)

81.  Homomorphisms of a vector space into itself,  Abstracts presented to the American Mathematical Society, 1984, v. 5, No. 1

82.  $-varieties and their homomorphisms, Abstracts presented to the American Mathematical Society, 1984, v. 5, No. 2

83.  Some aspects of multicombinatorics,   Abstracts presented to the American Mathematical Society, 1984, v. 5, No. 4

84.  Functors in categories of named sets,   Abstracts presented to the American Mathematical Society, 1984, v. 5, No. 7

85.  Principally generated radicals in abelian categories, in "Problems of group theory and homological algebra," Yaroslavl, 1985, pp. 104-116     (in Russian) 

86.  Galois Grouppoids,   XVIII All-Union  Algebraic Conference, pt. 1, Kishinev, 1985, p. 73     (in Russian) 

87.  Approximation of Linear Algebras and Grouppoids,  in "Algebraic systems with one action and relation," Leningrad, 1985, pp. 3-13       (in Russian) 

88.  Strict Kurosh varieties of semigroups,  Semigroup Theory and its Applications, Saratov, 1985, No. 5, pp. 22-28       (in Russian) 

89.  New aspects of multicombinatorics, Abstracts presented to the American Mathematical Society, 1985, v. 6, No. 2

90.  Functional bisequences, Abstracts presented to the American Mathematical Society, 1985, v. 6, No. 3

91.  Order cardinality of named sets, Abstracts presented to the American Mathematical Society, 1985, v. 6, No. 4

92.  2-distributions, Abstracts presented to the American Mathematical Society, 1985, v. 6, No. 5

93.  Abstract theory of properties,  in "Non-classical Logics," Moscow, 1985, pp. 109-118    (in Russian) 

94.  Mathematics,  in "Philosophical Dictionary," Kiev, 1986, pp. 354-355                  (in Ukrainian)

95.  Theory of Categories,  in "Philosophical Dictionary," Kiev, 1986, pp. 268-269      (in Ukrainian)

96.  Probability Theory, in "Philosophical Dictionary,"  Kiev, 1986, p. 224                (in Ukrainian)

97.  Catastrophe Theory,  in "Philosophical Dictionary," Kiev, 1986, p. 268               (in Ukrainian)

98.  Mathematical Constructivism,  in "Philosophical Dictionary," Kiev, 1986, pp. 356-357     (in Ukrainian)

99.  Constructive Logic, in "Philosophical Dictionary," Kiev, 1986, pp.  304-305     (in Ukrainian)

100.    Continuum, in "Philosophical Dictionary," Kiev, 1986, p. 306                       (in Ukrainian)

101.    Operations on spaces of distributions,  Abstracts presented to the American Mathematical Society, 1986, v. 7,  No. 1

102.    Algebras of d-distributions, Abstracts presented to the American Mathematical Society, 1986, v. 7, No. 2

103.    Universality of algebras of distributions, Abstracts presented to the American Mathematical Society, 1986, v. 7, No.3

104.    Upper multicardinals, Abstracts presented to the American Mathematical Society, 1986, v. 7, No.4

105.    Logical deductive varieties, Abstracts presented to the American Mathematical Society, 1986, v. 7, No. 6

106.    Quantifiers in Theory of Properties,  in "Nonstandard Semantics of Non-classical Logics,"  Moscow, 1986, pp. 99-107          (in Russian)

107.    Cardinality of named sets and multicardinal numbers,    VIII All-Union conference on Mathematical  Logic, Moscow, 1986, p. 24     (in Russian)

108.    Operations  with  named  sets,  in "Ordered sets and lattices," Saratov, 1986, pp. 3-12      (in Russian)

109.    Logical model varieties, Abstracts presented to the American Mathematical Society, 1987, v. 8, No. 1

110.    Compactness Theorem for logical varieties,  Abstracts presented to the American Mathematical Society, 1987, v. 8, No. 3

111.    Spaces of D-numbers, Abstracts presented to the American Mathematical Society, 1987, v.8, No.4

112.    Generalized measures and integration,   Abstracts presented to the American Mathematical Society, 1987, v. 8, No. 5

113.    Induced generalized measures, Abstracts presented to the American Mathematical Society, 1987, v. 8, No. 6

114.    Functor semantics in categories of named sets, in "Rationality, Reasoning, Communication," Kiev, 1987, pp. 183-198    (in Russian)

115.    Functor operations in varieties of linear W-algebras,   Theory of Semigroups and its Applications, No. 7, Saratov, 1987, pp. 9-20     (in Russian)

116.    Algebraic structures of distributions, Doklady of the Academy of Sciences of Ukraine, 1987, No. 7, pp. 5-9     (in Russian and Ukrainian) 

117.    Functional integrals and  w-integration,  Abstracts presented to the American Mathematical Society, 1988, v. 9, No. 1

118.    Categories as systems of named sets, Abstracts presented to the American Mathematical Society, 1988, v.  9, No. 2

119.    Functors as mappings of named sets, Abstracts presented to the American Mathematical Society, 1988, v.  9, No. 3

120.    Counting operations on named sets , Abstracts presented to the American Mathematical Society, 1988, v. 9, No. 4

121.    First order model theories, Abstracts presented to the American Mathematical Society, 1988, v. 9, No. 5

122.    Asymptotic series and w-numbers, Abstracts presented to the American Mathematical Society, 1988, v. 9, No. 6

123.    Arithmetic hierarchy and inductive Turing machines,   Notices of the Academy of Sciences of the USSR, 1988, 299, No. 3, pp. 530-533   (translated from Russian: v. 37, No.2, pp. 390-393) 

124.    Categorical named sets, Abstracts presented to the American Mathematical Society, 1989, v. 10, No. 2

125.    Rules of composition and c-categories,   Abstracts presented to the American Mathematical Society, 1989, v. 10, No. 3

126.    Topological, algebraic and logical Varieties as named sets, Abstracts presented to the American Mathematical Society, 1989, v. 10, No. 5

127.    Existential and universal properties,  Abstracts presented to the American Mathematical Society, 1989, v. 10, No. 6

128.    Hypermeasures and hyperintegration,  Doklady of the Academy of Sciences of Ukraine, 1990, No. 6, pp. 10-13      (in Russian and Ukrainian) 

129.    Concepts, Types and the Theory of Abstract Properties, X All-Union Conference for Mathematical Logic, Alma-Ata, 1990, p. 30     (in Russian, in collaboration) 

130.    Arithmetic of the multicardinal numbers,  X All-Union Conference for Mathematical Logic, Alma-Ata, 1990, p. 29       (in Russian)

131.    Extensions of scientific theories and named sets,   X All-Union Conference for Mathematical Logic, Alma-Ata, 1990, p. 31    (in Russian, in collaboration) 

132.    Theory of Named Sets as a  Foundational Basis for Mathematics,  in "Structures in Mathematical Theories," San Sebastian, 1990, pp. 417-420

133.    Information and language, Abstracts presented to the American Mathematical Society, 1990, v. 11, No. 1

134.    Formal (syntactical) calculi of properties, Abstracts presented to the American Mathematical Society, 1990, v. 11, No. 3

135.    Generalized product-measures, Abstracts presented to the American Mathematical Society, 1990, v. 11, No. 4

136.    Projective operations in named sets,       Abstracts presented to the American Mathematical Society, 1990, v. 11, No. 5

137.    Exact formal calculi of properties, Abstracts presented to the American Mathematical Society, 1990, v. 11, No. 6

138.    Infinite-valued measures and integration, XVI School on theory of operators in functional spaces, Nijnii Novgorod, 1991, p.28      (in Russian)

139.    Dynamic information theory, Abstracts presented to the American Mathematical Society, 1991, v. 12, No. 1

140.    Measures of information, Abstracts presented to the American Mathematical Society, 1991, v. 12, No. 3

141.    Independent exposition of named sets theory, Abstracts presented to the American Mathematical Society, 1991, v. 12, No. 4

142.    Approximation of fuzzy logics by logical varieties, Abstracts presented to the American Mathematical Society, 1991, v.  12, No. 6

143.    On the Hahn-Banach theorem for hyperfunctionals, Doklady of the Ukrainian Academy  of Sciences, 1991, No. 7, pp. 9-14     (in Russian, in Ukrainian) 

144.    Hyperfunctionals in linear spaces, Abstracts presented to the American Mathematical Society, 1991, v. 12,  No. 5

145.    Fuzzy optimization on matrix sets,  EURO XI, 11 European Congress on Operational Research, Aachen, 1991, p. 39 

146.    Categories, semigroups and named sets, Semigroup Theory and Applications, Saratov, 1991, v. 10, pp. 7-16      (in Russian)

147.    Named set compositions in  categories,  in "Problems of group theory and homological algebra," Yaroslavl, 1991, pp. 39-52        (in Russian)

148.    Continuity Measures of Mappings of Topological Spaces,   IX International Conference on Topology and its Applications Kiev, 1992, p. 63      (in collaboration) 

149.    Topological spaces of extrafunctions,  IX International Conference on Topology and its Applications, Kiev, 1992, p. 62

150.    Fuzzy sets as named sets,  Fuzzy sets and systems, 1992, v. 46,  No. 2, pp. 189-192               (in collaboration) 

151.    Topological Characterization of Hypernumbers,   VIII Summer Conference on General Topology and Applications, New York, 1992, p. 4

152.    Continuity Defect for Mappings of Topological Spaces,   VIII Summer Conference on General Topology and Applications, New York, 1992, p. 39     (in collaboration)      

153.    Towards the theory of continuity defect and continuity measure for mappings of metric spaces,  in "Matematika," Riga, 1992, pp. 45-62     (in collaboration)      

154.    Logical varieties and the Gödel theorem,   XI International conference on mathematical logic, Kazan, 1992, p. 30  

155.    Incompleteness Theorem for Logical Varieties,  Abstracts presented to the American Mathematical Society, 1992, v. 13, No. 1

156.    On one theorem of neoclassical analysis,   Abstracts presented to the American Mathematical Society, 1992, v. 13, No. 3

157.    Nonstandard Function Theory, Abstracts presented to the American Mathematical Society, 1992, v. 13, No. 4

158.    Construction Axioms for Nonstandard Analysis, Abstracts presented to the American Mathematical Society, 1992, v. 13, No. 5

159.    Construction axioms for hypernumbers, Abstracts presented to the American Mathematical Society, 1992, v. 13, No. 6

160.    Algebraic Structures of Multicardinal Numbers,  in "Problems of group theory and homological algebra," Yaroslavl, 1992, pp. 3-20       (in Russian)

161.    Spaces of extrafunctions, Abstracts presented to the American Mathematical Society, 1993, v. 14, No. 2

162.    Expressive possibilities of deductive methods in mathematics,   XIX World Congress of Philosophy, Abstracts, v.1, Moscow, 1993, p. 292        (in Russian)

163.    Fuzzy continuous mappings, Abstracts presented to the American Mathematical Society, 1993, v. 14,  No. 3     (in collaboration)

164.    Two approaches to continuity measure, Abstracts presented to the American Mathematical Society, 1993, v. 14, No. 3

165.    Universal theory of integration: General approach, Abstracts presented to the American Mathematical Society, 1993, v. 14,  No. 5

166.    An Axiomatic System for the Theory of Named Sets, Theory of Semigroups and its Applications, No.11, Saratov, 1993, pp. 8-17     (in Russian)

167.    Universal theory of integration: Riemann model, Abstracts presented to the American Mathematical Society, 1993, v. 14,  No. 6

168.    Space-time manifold as a dynamic scale, Abstracts presented to the American Mathematical Society, 1993, v. 14,  No. 7

169.    Differential Calculus For Extrafunctions,  Doklady of the Academy of Science of Ukraine, 1993, No. 11, pp. 5-9 

170.    Fuzzification of the theory of continuous functions,  Fuzzy Sets and Systems, 1994, v. 62, No. 1, pp. 71-81    (in collaboration) 

171.    Hypernumbers and fuzzy convergence, Abstracts presented to the American Mathematical Society, 1994, v.15, No.1

172.    Problems of mathematical analysis teaching: from classical to neoclassical analysis,    International Congress of Mathematicians, Zurich, 1994, p. 263

173.    Cardinal typology of sets,   Abstracts presented to the American Mathematical Society, 1994, v.15, No. 4    (in collaboration) 

174.    Sequences, series and hypernumbers, Abstracts presented to the American Mathematical Society, 1994, v.15, No. 5

175.    Law of inverse ratio, Abstracts presented to the American Mathematical Society, 1994, v.15, No.7

176.    Logical Modeling of Scientific Theories,  Theories and Models in Scientific Processes, Warsaw, 1994, pp. 14-16 

177.    Fundamental Base of the Theory of Triads, Idea, 1994, No. 2, pp. 32-45      (in Ukrainian)

178.    Dynamic scales in unified theories,   Abstracts presented to the American Mathematical Society, 1995, v. 16, No. 1

179.    Local and global integration, Abstracts presented to the American Mathematical Society, 1995, v. 16, No. 2

180.    A new criterion of continuity of real functions, Abstracts presented to the American Mathematical Society, 1995, v.16, No. 2

181.    Generalized Baire theorem, Abstracts presented to the American Mathematical Society, 1995, v.16, No. 3

182.    Formal Theory of Time, Abstracts presented to the American Mathematical Society, 1995, v.16, No. 3

183.    Universal theory of integration: Daniel integral, Abstracts presented to the American Mathematical Society, 1995, v.16, No. 4

184.    Hypermetrics and hyperspaces,  Abstracts presented to the American Mathematical Society, 1995, v.16, No. 4

185.    A method of solution of operator equations by means of the theory of hypernumbers, Doklady of the National Academy of Sciences of Ukraine, 1995, No. 8, pp. 27-30     (in Russian, in collaboration)

186.    Neoclassical Analysis: Fuzzy Continuity and Convergence, Fuzzy Sets and Systems, 1995 v.75, No. 2, pp. 291-299

187.    Integral Calculus for Extrafunctions,  Doklady of the National Academy of Sciences of Ukraine, 1995, No. 11, pp. 14-17

188.    Similarity loops in time,   Abstracts presented to the American Mathematical Society, 1996, v.17, No. 1

189.    Universal theory of differentiation: General approach,   Abstracts presented to the American Mathematical Society, 1996, v.17, No. 1

190.    Leibnitz-Newton theorem in the universal theory of integration, Abstracts presented to the American Mathematical Society, 1997, v.18, No. 1

191.    Non-Diophantine Arithmetics or is it Possible that 2+2 is not Equal to 4?     Kiev, 1997        (in Russian)

192.    Calculus of Abstract Properties,  International conference "Smirnov's Readings", Moscow, 1997, p. 93             (in Russian) 

193.    Approaches to the Notion of the  Actual Infinity in Mathematics, in "Infinity in Mathematics,"  Moscow, 1997, pp. 97-107                  (in Russian) 

194.    Stratified Universal Algebras,  International Algebraic Conference dedicated to the Memory of Prof.  L.M.Gluskin, Kharkov, 1997,  pp. 96-97 

195.    Hypernormed Spaces and Algebras,  International Algebraic Conference dedicated to the Memory of Prof.  L.M.Gluskin, Kharkov, 1997,  pp. 97-98  

196.    Logical Varieties and Covarieties,   in "Methodological and Theoretical Problems  of Mathematics and Information and Computer Sciences," Ukrainian Academy of Information Sciences, Kiev, 1997, pp. 18-34      (in Russian) 

197.    Superposition of Fuzzy Continuous Functions,   in "Methodological and Theoretical Problems of Mathematics and Information and Computer Sciences," Ukrainian Academy of Information Sciences, Kiev, 1997, pp. 45-51         (in Russian, in collaboration)

198.    Extended Fixed Point Theorem, in "Methodological and Theoretical Problems of Mathematics and Information and Computer Sciences," Ukrainian Academy of Information Sciences, Kiev, 1997, pp. 52-60          (in Russian)

199.    Functions with finite fluctuation,  Abstracts presented to the American Mathematical Society, 1997, v. 18, No. 3     (in collaboration) 

200.    Foundations of Mathematics Revisited, Abstracts presented to the American Mathematical Society, 1997, v.18, No. 2

201.    Discontinuous Topology,   Abstracts presented to the American Mathematical Society, 1997, v. 18, No. 2

202.    Relativized fuzzy continuious functions,  Abstracts presented to the American Mathematical Society, 1997, v.18, No. 2

203.    Fuzzy fixed point theorem, Abstracts presented to the American Mathematical Society, 1997, v. 18, No. 4

204.    On the Nature and Essence of Mathematics,  Kiev, Ukrainian Academy of Information Sciences,  1998     (in Russian)

205.    Finite and Infinite,  in  "On the Nature and Essence of Mathematics, Appendix," Ukrainian Academy of Information Sciences, Kiev, 1998, pp. 97-108                            (in Russian)

206.    Spaces of the Fuzzy Continuous Functions,  in "On the Nature and Essence of Mathematics, Appendix," Ukrainian Academy of Information Sciences, Kiev, 1998, pp. 113-121                  (in Russian, in collaboration)

207.    One-sided Defects of Continuity and Fuzzy Continuous Functions, in "On the Nature and Essence of Mathematics, Appendix," Ukrainian Academy of Information Sciences, Kiev, 1998, pp. 122-128                             (in Russian, in collaboration)

208.    Multicombinatorics: Combinatorial Problems in the Theory of Named Sets, in "On the Nature and Essence of Mathematics, Appendix," Ukrainian Academy of Information Sciences, Kiev, 1998, pp. 129-135

209.    Paraconsistent Logics and Logical Varieties, in "On the Nature and Essence of Mathematics, Appendix," Ukrainian Academy of Information Sciences, Kiev, 1998, pp. 109-112     (in Russian)

210.    Weak Deductive Covarieties,  Abstracts presented to the American Mathematical Society, 1998, v.19, No. 2

211.    Fuzzy Continuity in Analysis,  7th International Scientific Kravchuk Conference,  Kyiv, 1998, p. 72      (in Ukrainian, in collaboration)

212.    Extended Fuzzy Continuity,   Abstracts presented to the American Mathematical Society, 1999, v.20, No. 1

213.    Fuzzy Contractions and Fixed Points, Abstracts presented to the American Mathematical Society, 1999, v.20, No. 2, p. 392  (942nd AMS Meeting, University of Nevada, Las Vegas, April 10-11, 1999, pp. 38-39)

214.    Categories and Populations,  Abstracts presented to the American Mathematical Society, 1999, v.20, No. 2, p. 414

215.    Relatively Continuous Mappings of Topological Spaces,  Abstracts of the 14th Summer Conference on General Topology and Applications, Long Island, 1999, p. 6 (http://atlas-conferences.com/c/a/c/l/63.htm)

216.    Related Hypernumbers,   Abstracts presented to the American Mathematical Society, 1999, v.20, No. 4, p. 699

217.    Fuzzy Completeness of Metric Spaces,   Abstracts presented to the American Mathematical Society, 1999, v.20, No. 4, pp. 699-700

218.    General Approach to Continuity Measures,  Fuzzy Sets and Systems, 1999, v. 105, No. 2, pp. 225-231

219.    Theory of Hypernumbers and Feynman Integrals, Abstracts presented to the American Mathematical Society, 2000, v.21, No. 1, p. 71

220.    General Compactness Theorem,   Abstracts presented to the American Mathematical Society, 2000, v.21, No. 1, p. 249

221.    Axiomatic Representation of the Enhanced Banzhaf Power Index, in “11th International Conference on Game Theory”, Book of Abstracts, Stony Brook, 2000, pp. 17-18           (in collaboration)

222.    Extremum Criteria in Neoclassical Analysis,   Abstracts presented to the American Mathematical Society, 2000, v.21, No. 3, p. 424

223.    Differentiation in Neoclassical Analysis,   Abstracts presented to the American Mathematical Society, 2000, v.21, No. 3, p. 501

224.    A Historical Perspective in Teaching Science and Mathematics, The Journal of Interdisciplinary Studies, v. 13, Fall 2000, pp. 1-11

225.    Theory of Fuzzy Limits,  Fuzzy Sets and Systems, 2000, v. 115, No. 3, pp. 433-443

226.    Enhanced Banzhaf Power Index and its Mathematical Properties, Department of Economics and Mathematics, University of California, Los Angeles, Report W - 797,  2000, 33 p.                                                                  (in collaboration)

227.    Differential Intermediate Value Theorem, Abstracts presented to the American Mathematical Society, 2001, v.22, No. 1, p. 269

228.    Extrafunctions, Distributions, and Nonsmooth Analysis, University of California, Los Angeles, Mathematics Report Series, MRS Report 01-02, 2001, 48 p.

229.    Fuzzy Differentiation of Real Function, University of California, Los Angeles, Mathematics Report Series, MRS Report 01-03, 2001, 46 p.

230.    Linear Differential Equations and Extrafunctions, University of California, Los Angeles, Mathematics Report Series, MRS Report 01-04, 2001, 35 p.                   (in collaboration)

231.    Theory of Real Hypernumbers: Properties and Axiomatization, Elsevier, Preprint 0107062, 2001, 42 p. (electronic edition:   http://www.mathpreprints.com/math/Preprint/      changed to http://www.sciencedirect.com/preprintarchive)      

232.    How we Count or is it Possible that Two Times Two is not Equal  to Four, Elsevier, Preprint 0108003, 2001, 12 p. (electronic edition:   http://www.mathpreprints.com/math/Preprint/         changed to http://www.sciencedirect.com/preprintarchive)    

233.    Classes of Extrafunctions, Abstracts presented to the American Mathematical Society, 2001, v.22, No. 2, p. 432-433

234.    Optimization Principle for Coalition Formation in Political Games, in “12th International Conference on Game Theory”, Book of Abstracts, Stony Brook, 2001, p. 14                   (in collaboration)

235.    Fuzzy Derivatives and Monotonous Functions, Elsevier, Preprint 0108017, 2001, 36 p.       (electronic edition:   http://www.mathpreprints.com/math/Preprint/         changed to http://www.sciencedirect.com/preprintarchive)  

236.    Continuity and Connectedness in Discontinuous Topology, University of California, Los Angeles, Mathematics Report Series, MRS Report 01-06, 2001, 28 p.

237.    Diophantine and Non-Diophantine Aritmetics: Operations with Numbers in Science and Everyday Life, LANL, Preprint Mathematics GM/0108149, 2001, 27 p.     (electronic edition:   http://arXiv.org)

238.    Mathematics as a Natural Science, Fall Meeting of the Southern California Section of the Mathematical Association of America, Abstracts, Los Angeles, 2001, p. 6

239.    Fuzzy Sets of Strong, Weak, and Conditional Derivatives, Elsevier, Preprint 0110014, 2001, 41 p.       (electronic edition:   http://www.mathpreprints.com/math/Preprint/   changed to http://www.sciencedirect.com/preprintarchive)    

240.    Measure Dependable Extrafunctions, Abstracts presented to the American Mathematical Society, 2001, v.22, No. 4, p. 571-572  (972nd AMS Meeting, University of California, Irvine, November 10-11, 2001, p. 21)

241.    Generalized Solutions for the Cauchy Problem for Partial Differential Equations, Abstracts presented to the American Mathematical Society, 2001, v.22, No. 4, p. 574  (972nd AMS Meeting, University of California, Irvine, November 10-11, 2001, p. 23)   (in collaboration)

242.    Uncertainty and Imprecision in Analytical Context: Fuzzy Limits and Fuzzy Derivatives, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, v. 9, No. 5, 2001, pp. 563-685

243.    Mistakes, Fallacies, and Misconceptions in the History of Mathematics, Abstracts presented to the American Mathematical Society, 2002, v.23, No. 1, p. 198   (Joint Mathematics Meeting, San Diego, California, January 6-9, 2002)

244.    Cauchy-Kowalewski Theorem for Extended Distributions, Abstracts presented to the American Mathematical Society, 2002, v.23, No. 1, p. 97   (Joint Mathematics Meeting, San Diego, California, January 6-9, 2002)          (in collaboration)

245.    Extended Distributions and Hyperfunctionals, Abstracts presented to the American Mathematical Society, 2002, v.23, No. 1, p. 126   (Joint Mathematics Meeting, San Diego, California, January 6-9, 2002)

246.    Conditional Convergence and Nearness Based Limits, Abstracts of the 6th International Conference FSTA 2002 on Fuzzy Sets Theory and its Applications, Liptovsky Jan, Slovak Republic, 2002, pp. 41-42         (in collaboration)

247.    Theory of Hypernumbers and Extrafunctions: Functional Spaces and Differentiation, Discrete Dynamics in Nature and Society, v. 7, No. 3, 2002, pp. 201-212

248.    Conditional Fuzzy Convergence of Sequences and Numerical Computation, Abstracts presented to the American Mathematical Society, 2002, v.23, No. 4, p. 560       (in collaboration)

249.    Multiplication of Hypernumbers and Extrafunctions, Abstracts presented to the American Mathematical Society, 2003, v.24, No. 3, p. 471  (987th AMS Meeting, San Francisco State University, San Francisco, California, May 3-4, 2003, p. 44) 

250.    Monotonicity, Fuzzy Extrema, and Fuzzy Conditional Derivatives of Real Functions, University of California, Los Angeles, Mathematics Report Series, MRS Report 03-13, 2003, 73 p.

251.    Fixed Points in Fuzzy Dynamical Systems, Abstracts presented to the American Mathematical Society, 2004, v.25, No. 1, p. 97-98   (Joint Mathematics Meeting, Phoenix, Arizona, January 7-10, 2004)          (in collaboration)

252.    Recurrent Points in Fuzzy Dynamical Systems of the First Type, Abstracts presented to the American Mathematical Society, 2004, v.25, No. 1, p. 106   (Joint Mathematics Meeting, Phoenix, Arizona, January 7-10, 2004)

253.    Fuzzy Fixed Points in Banach Spaces, Abstracts presented to the American Mathematical Society, 2004, v.25, No. 1, p. 119   (Joint Mathematics Meeting, Phoenix, Arizona, January 7-10, 2004)

254.    Named Set Theory Axiomatization: TNZ Theory, Elsevier, Preprint 0402024, 2004 (electronic edition:   http://www.mathpreprints.com/math/Preprint/          changed to http://www.sciencedirect.com/preprintarchive)    

255.    Unified Foundations of Mathematics, Preprint in Mathematics LO/0403186, 2004, 39 p.     (electronic edition:   http://arXiv.org)

256.    The fundamental Theorem of Calculus for infinite intervals, Abstracts presented to the American Mathematical Society, 2004, v.25, No. 3, p.     (996th AMS Meeting, University of Southern California, Los Angeles, California, April 3-4, 2004, p. 29) 

257.    Topological Spaces of Extended Hypernumbers, Abstracts presented to the American Mathematical Society, 2004, v.25, No. 3, p.     (996th AMS Meeting, University of Southern California, Los Angeles, California, April 3-4, 2004, p. 49)

258.    Hyperfunctionals and Generalized Distributions, in “Stochastic Processes and Functional Analysis” (Eds. Krinik, A.C. and Swift, R.J.; A Dekker Series of Lecture Notes in Pure and Applied Mathematics, v.238) 2004, pp. 81 – 119

259.    Fuzzy Optimization of Real Functions, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2004, v. 12, No. 4, pp. 471-497

260.    Compatibility in Logical Varieties, Bulletin of Symbolic Logic, 2004, v. 10, No. 2, p. 288  (Association for Symbolic Logic, 2003-2004 Winter Meeting in Phoenix)

261.    PDE and Extrafunctions, Rocky Mountain Journal of Mathematics, 2004, v. 34, No. 3, pp. 849-867     (in collaboration)

262.    Discontinuity Structures in Topological Spaces, International Journal of Pure and Applied Mathematics, 2004, v. 16, No. 4, pp. 485-513

263.    Nonlinear Cauchy-Kowalewski Theorem in Extrafunctions, University of California, Los Angeles, Mathematics Report Series, MRS Report 05-02, 2005, 40 p.

264.    Series Summation in Hypernumbers, University of California, Los Angeles, Mathematics Report Series, MRS Report 05-07, 2005, 27 p.

265.    Fuzzy Conditional Convergence and Nearness Relations, Fuzzy Sets and Systems, 2005, v. 149, No. 3, pp. 383-398             (in collaboration)

266.    Calculus versus topology: comprehension versus abstraction,  Fuzzy Sets and Systems, 2005, v. 149, No. 3, pp. 413-414             (in collaboration)

267.    Topology in Nonlinear Extensions of Hypernumbers, Discrete Dynamics in Nature and Society, v. 10, No. 2, 2005, pp. 145-170

268.    Recurrent Points of Fuzzy Dynamical Systems, Journal of Dynamical Systems and Geometric Theories, 2005, v. 3, No. 1, pp.1-14

 

 

 

 

 

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