Abelianness and centrality in inverse semigroups
Michael Kinyon, David Stanovský · Proceedings of the Edinburgh Mathematical Society · 2025
Abstract We adapt the abstract concepts of abelianness and centrality of universal algebra to the context of inverse semigroups. We characterize abelian and central congruences in terms of the corresponding congruence pairs. We relate centrality to conjugation in inverse semigroups. Subsequently, we prove that solvable and nilpotent inverse semigroups are groups.