An algebra $A(*,\hat{} ,\sim)$ is said to be Boolean algebra if it satisfies some conditions...In this statement what is the meaning of starting word an algebra?
2026-04-04 03:54:12.1775274852
What is the meaning of an algebra?
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An algebra consists of a set with some operation(s) (and possibly relations).
A Boolean algebra consists of a set with two binary operations "K" and "A", and a unary opeartion "N", two special elements "0" and "1" such that for all p, q, r:
KKpqr=KpKqr, AApqr=ApAqr (associative laws)
Kpq=Kqp, Apq=Aqp (commutative laws)
KpApq=p, ApKpq=p (absorption laws)
KpAqr=AKpqKpr, ApKqr=KApqApr (distributive laws)
KpNp=0, ApNp=1 (complement laws)