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Gr\"obner--Shirshov bases for Vinberg--Koszul--Gerstenhaber right-symmetric algebras
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Gr\"obner--Shirshov bases for Vinberg--Koszul--Gerstenhaber right-symmetric algebras
classification
math.RA
math.RT
keywords
algebraalgebrasright-symmetricapplicationbasesbasisbner-shirshovcomposition-diamond
read the original abstract
In this paper, we establish the Composition-Diamond lemma for right-symmetric algebras. As an application, we give a Gr\"{o}bner-Shirshov basis for universal enveloping right--symmetric algebra of a Lie algebra.
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