Abstract
In this paper, we study a class of naturally ordered abundant semigroups with an adequate monoid transversal, namely, naturally ordered concordant semigroups with an adequate monoid transversal. After giving some properties of such semigroups, we obtain a structure theorem for naturally ordered concordant semigroups with an adequate monoid transversal.
Highlights
Suppose that S is a regular semigroup and S∘ is an inverse subsemigroup of S
We study a class of naturally ordered abundant semigroups with an adequate monoid transversal, namely, naturally ordered concordant semigroups with an adequate monoid transversal
The structure theorems for regular semigroups with an inverse transversal have been given by many authors
Summary
Suppose that S is a regular semigroup and S∘ is an inverse subsemigroup of S. The structure theorems for regular semigroups with an inverse transversal have been given by many authors (see [1,2,3,4]). As we shall discuss below, this paper is one of a sequence in which we concentrate on the structure of a class of naturally ordered abundant semigroups with an adequate monoid transversal.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
