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

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

2009-03-05

arxiv.org/abs/0903.0892v1

Mathematics

Rings and Algebras

47 pages

Scientific paper

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.

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