Characterizations of Left H-Clifford Semirings by Their H-Ideals

Abstract

The main aim of this research is to introduce Left $h-$ Clifford Semi-rings. Using some basic properties of $h-$ regular semi-rings we shall investigate several properties of Left $h-$ Clifford semi-rings and their characterizations. We will also establish that a semi-group Q will be a Left Clifford Semi-group iff the semi-group P (Q) of all subsets of Q is a Left $h-$ Clifford Semiring. Also, this research will investigate the distributive congruences of regular semi-rings.