Gröbner-Shirshov bases for free partially commutative Lie algebras

Details Gröbner-Shirshov bases for free partially commutative Lie algebras Gröbner-Shirshov bases for free partially commutative Lie algebras

2011-04-21

arxiv.org/abs/1105.4796v1

Mathematics

Rings and Algebras

Scientific paper

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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