ABUNDANT SEMIGROUPS WITH A MEDIAL IDEMPOTENT SATISFYING THE CONGRUENCE CONDITION
Fu Wen · Journal of Mathematics · 2011
In this article,we introduce Green's ◇-relations and ◇-abundant semigroups and study the ◇-abundant semigroups with a medial idempotent,satisfying the congruence condition. By using idempotent-generated regular semigroups with a medial idempotent and ◇-quasi-adequate semigroups,we establish a construction of such semigroups.