Robbins algebra
id:
robbins-algebra-290-11571075
title:
Robbins algebra
text:
In abstract algebra, a Robbins algebra is an algebra containing a single binary operation, usually denoted by ∨ , and a single unary operation usually denoted by ¬ satisfying the following axioms: For all elements a, b, and c: Associativity: a ∨ = ∨ c Commutativity: a ∨ b = b ∨ a Robbins equation: ¬ = a For many years, it was conjectured, but unproven, that all Robbins algebras are Boolean algebras. This was proved in 1996, so the term "Robbins algebra" is now simply a synonym for "Boolean algeb
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https://en.wikipedia.org/wiki/Robbins_algebra
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2023-07-13T16:07:24Z
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