next up previous
Next: n_boolean Up: n_boolean Previous: n_boolean

6. Free Boolean algebras

FBA$ (3) \cong {\mbox{\bf 2}} ^ {2 ^ 3}$: 3 generators; 8 atoms; 256 elements.



FBA$ (4) \cong {\mbox{\bf 2}} ^ {2 ^ 4}$: 4 generators; 16 atoms; 65,536 elements.



FBA$ (5) \cong {\mbox{\bf 2}} ^ {2 ^ 5}$: 5 generators, 32 atoms, 4,294,967,296 elements.



FBA$ (6) \cong {\mbox{\bf 2}} ^ {2 ^ 6}$: 6 generators; 64 atoms; 18,446,744,073,709,551,616 elements.



FBA$ (7) \cong {\mbox{\bf 2}} ^ {2 ^ 7}$: 7 generators; 128 atoms; 340,282,366,920,938,463,463,374, 607,431,768,211,456 elements.



FBA$ (8) \cong {\mbox{\bf 2}} ^ {2 ^ 8}$: 8 generators; 256 atoms; 115,792,089,237,316,195,423,570, 985,008,687,907,853,269,984,665,640,564,039,457,584,007,913,129,639,936 elements.





Kirby A. Baker 2003-02-05