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arXiv 2011-04-21 1 views

Gröbner-Shirshov bases for free partially commutative Lie algebras

Chen, Yuqun · Mo, Qiuhui

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In this paper, by using Composition-Diamond lemma for Lie algebras, we give a Gröbner-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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