English

On Shirshov bases of graded algebras

Rings and Algebras 2014-01-14 v2 Combinatorics

Abstract

We prove that if the neutral component in a finitely-generated associative algebra graded by a finite group has a Shirshov base, then so does the whole algebra.

Keywords

Cite

@article{arxiv.1201.5837,
  title  = {On Shirshov bases of graded algebras},
  author = {Fedor Petrov and Pasha Zusmanovich},
  journal= {arXiv preprint arXiv:1201.5837},
  year   = {2014}
}

Comments

4 pages; v2: minor corrections in English; to appear in Israel J. Math