Gröbner--Shirshov bases for Vinberg--Koszul--Gerstenhaber right-symmetric algebras

Details Gröbner--Shirshov bases for Vinberg--Koszul--Gerstenhaber right-symmetric algebras Gröbner--Shirshov bases for Vinberg--Koszul--Gerstenhaber right-symmetric algebras

2009-03-04

arxiv.org/abs/0903.0706v1

Fundamental and Applied Mathematics, 14(8)(2008), 55-67. (in Russian)

Mathematics

Rings and Algebras

13 pages

Scientific paper

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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