A characterization of Cliffordian semigroups
Sándor Lajos · Proceedings of the Japan Academy Series A Mathematical Sciences · 1976
Let S be a semigroup.An element a of S is said to be completely regular if there exists an element x in S such that axa=a and ax--xa.A semigroup consisting entirely of completely regular elements is said to be completely regular or Cliffordian.A.H. Clifford [1] proved that completely regular semigroups are semilattices of completely simple semigroups and conversely.Recently, M. Yamada [8] has investigated the regular extensions of a Cliffordian semigroup.