HS-stability and complex products in involution semigroups

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

doi:10.1007/s00233-021-10213-x

HS-stability and complex products in involution semigroups

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

Discrete Mathematics and Optimization

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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 language	English
Pages (from-to)	395-413
Number of pages	19
Journal	Semigroup Forum
Volume	103
Issue number	2
DOIs	https://doi.org/10.1007/s00233-021-10213-x
Publication status	Published - 2021

Keywords

Complex product
Hermitian square
HS-stability
Involution semigroup

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Bodor2021_Article_HS-stabilityAndComplexProductsFinal published version, 340 KBLicence: CC BY

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HS-stability and complex products in involution semigroups

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Keywords

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