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abstract algebra

   Also found in: Wikipedia 0.02 sec.
abstract algebra [′abz·trakt ′al·jə·brə]
(mathematics)
The study of mathematical systems consisting of a set of elements, one or more binary operations by which two elements may be combined to yield a third, and several rules (axioms) for the interaction of the elements and the operations; includes group theory, ring theory, and number theory.


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Those improvements, along with faster computers and better software engineering, eventually produced an agile reasoning system called Otter, aimed at questions in abstract algebra and formal logic.
Schwartz worked on abstract algebra, determining when a finite Abelian group can be partitioned into cosets of distinct subgroups.
 
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