ON WEAKLY L-REGULAR SEMIGROUPS WITH CENTRAL IDEMPOTENTS
Gong Chunmei · Journal of Mathematics · 2012
Weakly L-regular semigroups with central idempotents are introduced and their algebraic structures are studied in this paper.By using a right congruence L+ and a left congruence R+ on a semigroup S,respectively,we show that a semigroup S is a weakly L-regular semigroup with central idempotents if and only if S is a strong semilattice of H-left cancellative monoids,which generalizes the corresponding results of Clifford semigroups in the class of regular semigroups.