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
2. Imbedding an amalgam of groups into a group, VIII All-Union Colloquium on General Algebra,
3. Categories with involution and correspondences
in g-categories, IX All-Union
Algebraic Colloquium,
4. Generalized free and permutation products of
groups, IX All-Union Algebraic Colloquium,
5. Some properties of the generalized free
products and imbedding of group amalgams, Math. of the
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,
9. Principal objects in abelian categories and the
related torsion, X All-Union Algebraic Colloquium,
10. Categories of relations over semiabelian
categories, Notices of
the
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,
16.
Linear W-algebras with zero grade identities, XI All-Union Algebraic Colloquium,
17.
Some
problems of the theory of topological
algebras, XI
All-Union Algebraic Colloquium,
18.
Free
decompositions with a common subobject, XI All-Union Algebraic Colloquium,
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,
21. Free topological groups and universal algebras, Notices of the
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
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,
27. Topological algebras with continuous operations, VI
All-Union Topological Conference,
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
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
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,
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
36. Kurosh varieties of linear algebras, II All-Union Symposium on the theory of
rings, modules and algebras,
37. Topological linear W-algebras, II All-Union Symposium on the theory of
rings, modules and algebras,
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
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
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
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,
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",
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",
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,
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,
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,
72. Extensions of Relations, in
"Mathematical Linguistics and Theory of Algorithms,"
73.
Operators
of closure for relations and binary operations, in "Operation research and Automated
Control Systems,"
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,
80.
Representation
of Algebraic and Topological Constructions by Means of Generalized Connected
Relations, in "Properties of Semigroups,"
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,"
86. Galois Grouppoids, XVIII All-Union Algebraic Conference, pt. 1,
87. Approximation of Linear Algebras and Grouppoids, in "Algebraic systems with one action
and relation,"
88.
Strict
Kurosh varieties of semigroups, Semigroup Theory and its Applications,
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,"
94.
Mathematics, in "Philosophical Dictionary,"
95.
Theory
of Categories, in
"Philosophical Dictionary,"
96.
Probability
Theory, in "Philosophical Dictionary,"
97.
Catastrophe
Theory, in
"Philosophical Dictionary,"
98.
Mathematical
Constructivism, in
"Philosophical Dictionary,"
99.
Constructive
Logic, in "Philosophical Dictionary,"
100. Continuum, in
"Philosophical Dictionary,"
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,"
107. Cardinality of named sets and multicardinal
numbers, VIII
All-Union conference on Mathematical
Logic,
108. Operations
with named sets, in "Ordered sets and lattices,"
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,"
115. Functor operations in varieties of linear W-algebras, Theory of Semigroups and its Applications,
No. 7,
116. Algebraic structures of distributions, Doklady of the
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
129. Concepts, Types and the Theory of Abstract
Properties, X All-Union Conference for Mathematical Logic,
130. Arithmetic of the multicardinal numbers, X All-Union Conference for Mathematical
Logic,
131. Extensions of scientific theories and named
sets, X All-Union
Conference for Mathematical Logic,
132. Theory of Named Sets as a Foundational Basis for Mathematics, in "Structures in Mathematical
Theories,"
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,
147. Named set compositions in categories, in "Problems of group theory and
homological algebra,"
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,
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,
152. Continuity Defect for Mappings of Topological
Spaces, VIII Summer
Conference on General Topology and Applications,
153. Towards the theory of continuity defect and
continuity measure for mappings of metric spaces, in "Matematika,"
154. Logical varieties and the Gödel theorem, XI International conference on mathematical
logic,
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,"
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,
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,
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
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,
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,
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?
192. Calculus of Abstract Properties, International conference "Smirnov's
193. Approaches to the Notion of the Actual Infinity in Mathematics, in
"Infinity in Mathematics,"
194. Stratified Universal Algebras, International Algebraic Conference dedicated
to the Memory of Prof. L.M.Gluskin,
195. Hypernormed Spaces and Algebras, International Algebraic Conference dedicated
to the Memory of Prof. L.M.Gluskin,
196. Logical Varieties and Covarieties, in "Methodological and Theoretical
Problems of Mathematics and Information
and Computer Sciences,"
197. Superposition of Fuzzy Continuous Functions, in "Methodological and Theoretical
Problems of Mathematics and Information and Computer Sciences," Ukrainian
Academy of Information Sciences,
198. Extended Fixed Point Theorem, in
"Methodological and Theoretical Problems of Mathematics and Information
and Computer Sciences," Ukrainian
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,
205. Finite and Infinite, in
"On the Nature and Essence of
Mathematics, Appendix,"
206. Spaces of the Fuzzy Continuous Functions, in "On the Nature and Essence of Mathematics, Appendix," Ukrainian
Academy of Information Sciences,
207. One-sided Defects of Continuity and Fuzzy
Continuous Functions, in "On the Nature and Essence of Mathematics, Appendix," Ukrainian
Academy of Information Sciences,
208. Multicombinatorics: Combinatorial Problems in
the Theory of Named Sets, in "On the Nature and Essence of Mathematics, Appendix,"
209. Paraconsistent Logics and Logical Varieties, in
"On the Nature and Essence of Mathematics,
Appendix,"
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,
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,
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