Gröbner-Shirshov bases for free partially commutative Lie algebras

Published 21 Apr 2011 in math.RA | (1105.4796v1)

Abstract: In this paper, by using Composition-Diamond lemma for Lie algebras, we give a Gr\"obner-Shirshov basis for free partially commutative Lie algebra over a commutative ring with unit. As an application, we obtain a normal form for such a Lie algebra.

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