L. A. Bokut, Yuqun Chen, Yu Li, “Gröbner–Shirshov bases for Vinberg–Koszul–Gerstenhaber right-symmetric algebras”, Fundam. Prikl. Mat., 2008, Volume 14, Issue 8,Pages <nobr>55

This article is cited in 16 papers

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

L. A. Bokut^ab, Yuqun Chen^b, Yu Li^b

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
^b South China Normal University, Guangzhou (Republic of China)

Abstract: In this paper, we establish the composition lemma (diamond lemma) for right-symmetric algebras. As an application, we give a Gröbner–Shirshov basis for the universal enveloping right-symmetric algebra of a Lie algebra.

UDC: 512.7