Composition-Diamond lemma for associative $n$-conformal algebras

L. A. Bokut; Yuqun Chen; Guangliang Zhang

Composition-Diamond lemma for associative $n$-conformal algebras

Rings and Algebras 2009-03-06 v1

Authors: L. A. Bokut , Yuqun Chen , Guangliang Zhang

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 Gr\"{o}bner-Shirshov bases for Lie $n$ -conformal algebras presented by generators and defining relations.

Keywords

associative algebras groebner basis

Cite

@article{arxiv.0903.0892,
  title  = {Composition-Diamond lemma for associative $n$-conformal algebras},
  author = {L. A. Bokut and Yuqun Chen and Guangliang Zhang},
  journal= {arXiv preprint arXiv:0903.0892},
  year   = {2009}
}

Comments

47 pages

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