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arxiv: 1105.4796 · v1 · pith:X7QY3FMXnew · submitted 2011-04-21 · 🧮 math.RA

Gr\"obner-Shirshov bases for free partially commutative Lie algebras

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keywords commutativealgebraalgebrasfreeobner-shirshovpartiallyapplicationbases
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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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