English

HS-stability and complex products in involution semigroups

Rings and Algebras 2021-12-15 v2

Abstract

When does the complex product of a given number of subsets of a group generate the same subgroup as their union? We answer this question in a more general form by introducing HS-stability and characterising the HS-stable involution subsemigroup generated by a subset of a given involution semigroup. We study HS-stability for the special cases of regular {}^{*}-semigroups and commutative involution semigroups.

Keywords

Cite

@article{arxiv.2003.02558,
  title  = {HS-stability and complex products in involution semigroups},
  author = {Bertalan Bodor and Erkko Lehtonen and Thomas Quinn-Gregson and Nikolaas Verhulst},
  journal= {arXiv preprint arXiv:2003.02558},
  year   = {2021}
}

Comments

14 pages

R2 v1 2026-06-23T14:04:51.435Z