HS-stability and complex products in involution semigroups

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

http://hdl.handle.net/10362/131753

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Autores

Bodor, Bertalan

Lehtonen, Erkko

Quinn-Gregson, Thomas

Verhulst, Nikolaas

Resumo(s)

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.