Regular semigroups with left simplistic orthodox transversals
YanFeng LUO, Xiangjun Kong · Scientia Sinica Mathematica · 2011
Left simplistic orthodox transversals are introduced in this paper and some characterizations as-sociated with them are obtained. The related results of Blyth and Almeida Santos on left simplistic inverse transversals obtained in 1996 and Kong on orthodox transversals obtained in 2007 are generalized and ampli ed. A structure theorem of regular semigroups with left simplistic orthodox transversals is also established.