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Free differential Lie Rota-Baxter algebras and Gröbner-Shirshov bases · arXivDesk

1704.04493Apr 13, 201719 pages

Free differential Lie Rota-Baxter algebras and Gröbner-Shirshov bases

Jianjun Qiu, Yuqun Chen

Rings and Algebras

Abstract

We establish the Gröbner-Shirshov bases theory for differential Lie $Ω$ -algebras. As an application, we give a linear basis of a free differential Lie Rota-Baxter algebra on a set.

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