Rees matrix semigroups over inverse semigroups
Francis J. Pastijn, Mario Petrich · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1986
Synopsis A Rees matrix semigroup over an inverse semigroup contains a greatest regular subsemigroup. The regular semigroups obtained in this manner are abstractly characterized here. The greatest completely simple homomorphic image and the idempotent generated part of such semigroups are investigated. Rectangular bands of semilattices of groups and some special cases are characterized in several ways.