boolean algebra in a sentence

Examples

1. Boolean algebra is isomorphic to the Boolean algebra of all subsets of a finite set.
2. Being defined by identities, MV-algebras form a Boolean algebras.
3. The analogous result holds beginning with a Boolean algebra.
4. Recall that filters on sets are proper filters of the Boolean algebra of its powerset.
5. The variety of Boolean algebras constitutes a famous example.
6. Boolean algebra is isomorphic to the Boolean algebra of all subsets of a finite set.
7. Thus every Boolean ring becomes a Boolean algebra.
8. The only further axiom Boolean algebra requires is:
9. Hence the periodic sequences form a Boolean algebra.
10. This Boolean algebra is unique up to isomorphism.