CHARACTERIZING INTRA-REGULAR POSEMIGROUPS AND POSEMIRINGS BY HIGH-(QUASI, BI)-IDEALS
In this paper, we study the notions of intra-regular posemigroups and posemirings in terms of their high-quasi-ideals and high-bi-ideals. These generalizations give us certain equivalent conditions which are characterizations for intra-regular posemigroups and posemirings.
posemigroup, posemiring, intra-regular, high-quasi-ideal, high-bi-ideal.
