HS-stability and complex products in involution semigroups
Bertalan Bodor (Technische Universität Dresden)
Erkko Lehtonen (Universidade Nova de Lisboa, Technische Universität Dresden)
Thomas Quinn-Gregson (Technische Universität Dresden)
N.D. Verhulst (Technische Universität Dresden, TU Delft - 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.
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