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Abstract Algebra
Conditions arising in the study of the Robbins axiom and its connection with Boolean algebra. Winkler studied Boolean conditions (such as idempotence or existence of a zero) ...
Linear Algebra
Pre-Algebra
The proposition that every proper ideal of a Boolean algebra can be extended to a maximal ideal. It is equivalent to the Boolean representation theorem, which can be proved ...
An involutive Banach algebra is a Banach algebra A which is an involutive algebra and ||a^*||=||a|| for all a in A.
The algebra A is called a pre-C^*-algebra if it satisfies all conditions to be a C^*-algebra except that its norm need not be complete.
A ring with a unit element in which every element is idempotent.
One of the logic operators AND ^ , OR v , and NOT ¬.
An algebra with no nontrivial ideals.
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