HS-stability and complex products in involution semigroups
arXiv:2003.02558 · doi:10.1007/s00233-021-10213-x
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.
14 pages