English

Degree estimate for subalgebras

Rings and Algebras 2010-10-19 v1

Abstract

Based on Bergman's Lemma on centralizers, we obtain a sharp lower degree bound for nonconstant elements in a subalgebra generated by two elements of a free associative algebra over an arbitrary field.

Keywords

Cite

@article{arxiv.1010.3502,
  title  = {Degree estimate for subalgebras},
  author = {Yunchang Li and Jie-Tai Yu},
  journal= {arXiv preprint arXiv:1010.3502},
  year   = {2010}
}

Comments

10 pages

R2 v1 2026-06-21T16:29:50.226Z