English

Some conditions from a finite regular semigroup to a finite inverse semigroup

Representation Theory 2021-01-22 v2 Combinatorics Group Theory

Abstract

In 1978, Munn proved that a bounded complex representation of an inverse semigroup is semiunitary and completely reducible. We consider the converse question in the finite case. We provide some sufficient conditions from a finite regular semigroup to a finite inverse semigroup.

Keywords

Cite

@article{arxiv.2012.13883,
  title  = {Some conditions from a finite regular semigroup to a finite inverse semigroup},
  author = {Chun-Hui Wang},
  journal= {arXiv preprint arXiv:2012.13883},
  year   = {2021}
}

Comments

16 pages, comments welcome!