English

Gr\"obner-Shirshov bases and PBW theorems

Rings and Algebras 2015-02-24 v1

Abstract

We review some applications of Gr\"obner-Shirshov bases, including PBW theorems, linear bases of free universal algebras, normal forms for groups and semigroups, extensions of groups and algebras, embedding of algebras.

Keywords

Cite

@article{arxiv.1502.06472,
  title  = {Gr\"obner-Shirshov bases and PBW theorems},
  author = {L. A. Bokut and Yuqun Chen},
  journal= {arXiv preprint arXiv:1502.06472},
  year   = {2015}
}

Comments

13 pages

R2 v1 2026-06-22T08:35:35.642Z