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DEFINITION of 'Boolean Algebra'. A division of mathematics which deals with operations on logical values. Boolean algebra traces its origins to an 1854 book by mathematician George Boole. The distinguishing factor of Boolean algebra is that it deals only with the study of binary variables. Most commonly boolean variables are presented with the possible values of 1 (true) or 0 (false).
Rng (algebra) From Wikipedia, the free encyclopedia. In mathematics, and more specifically in abstract algebra, a rng (or pseudo-ring or non-unital ring) is an algebraic structure satisfying the same properties as a ring, without assuming the existence of a multiplicative identity.