Composition-Diamond lemma for associative n-conformal algebras

2009/03/05 by L. A. Bokut, Bokut, L. A., Yuqun Chen +3
Mathematics · #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA

paper · pdf · doi:10.48550/arxiv.0903.0892

47 pages

arxiv created 2009/03/05 · arxiv updated 2009/12/01

Abstract

In this paper, we study the concept of associative n-conformal algebra over a field of characteristic 0 and establish Composition-Diamond lemma for a free associative n-conformal algebra. As an application, we construct Gröbner-Shirshov bases for Lie n-conformal algebras presented by generators and defining relations.

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