Regular Semigroups with Regular *-Transversals
Yinghui Li · Journal of Southwest China Normal University · 2006
Some new properties of regular semigroups with regular *-transversals are given. In particular, it is proved that a right (or left) ideal regular *-transversals of a regular semigroup S is a strongly regular *-transversals of S. According to these new properties, it is given that a new structure for regular semigroups with quasi-ideal regular *-transversals by two regular semigroups R and L with a common strongly regular *-transversals S° such that S° is a right ideal and a left ideal of R and L, respectively.