FPM 2008, vol. 14, no. 8, pp. 55-67

FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2008, VOLUME 14, NUMBER 8, PAGES 55-67

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

L. A. Bokut
Yuqun Chen
Yu Li

Abstract

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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.

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