English

Free differential Lie Rota-Baxter algebras and Gr\"obner-Shirshov bases

Rings and Algebras 2017-04-17 v1

Abstract

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

Keywords

Cite

@article{arxiv.1704.04493,
  title  = {Free differential Lie Rota-Baxter algebras and Gr\"obner-Shirshov bases},
  author = {Jianjun Qiu and Yuqun Chen},
  journal= {arXiv preprint arXiv:1704.04493},
  year   = {2017}
}

Comments

19 pages