HS-stability and complex products in involution semigroups

Journal article (2021)

Authors

Bertalan Bodor Technische Universität Dresden
Erkko Lehtonen New University of Lisbon, Technische Universität Dresden
Thomas Quinn-Gregson Technische Universität Dresden
N.D. Verhulst Technische Universität Dresden, Discrete Mathematics and Optimization - EEMCS
Research Group
Discrete Mathematics and Optimization (EEMCS) (TU Delft)
Copyright: © 2021 Bertalan Bodor, Erkko Lehtonen, Thomas Quinn-Gregson, N.D. Verhulst
DOI: https://doi.org/10.1007/s00233-021-10213-x
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Published Date

2021

Language

English

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Discrete Mathematics and Optimization

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.