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A Short Basis for the Variety of Digroups
Authors:JD Phillips
Institution:(1) Department of Mathematics & Computer Science, Wabash College, Crawfordsville, IN 47933, USA
Abstract:A digroup is an algebra defined on a set with two associative binary operations. Digroups play a prominent role in an important open problem from the theory of Leibniz algebras. We give a simple basis of independent axioms for the variety of digroups that emphasizes the two core semigroup structures undergirding each algebra in this variety.
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