Completely 0-simple semigroups of quotients III

Abstract

In a recent paper [6] the authors introduced the concept of a completely 0-simple semigroup of quotients. This definition has since been extended to the class of all semigroups giving a definition of semigroup of quotients which may be regarded as an analogue of the classical ring of quotients. When Q is a sernigroup of quotients of a semigroup S, we also say that S is an order in Q.