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arxiv: 0903.0892 · v1 · submitted 2009-03-05 · 🧮 math.RA

Composition-Diamond lemma for associative n-conformal algebras

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keywords conformalassociativealgebraalgebrascomposition-diamondlemmaapplicationbases
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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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