HS-stability and complex products in involution semigroups

Bertalan Bodor, Erkko Lehtonen, Thomas Quinn-Gregson, Nikolaas Verhulst

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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.

Original languageEnglish
Pages (from-to)395-413
Number of pages19
JournalSemigroup Forum
Volume103
Issue number2
DOIs
Publication statusPublished - Oct 2021

Keywords

  • Complex product
  • Hermitian square
  • HS-stability
  • Involution semigroup

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