A characterization of a ∼ admissible congruence on a weakly type B semigroup

Abstract

In this article, the notions of

admissible congruences and

∼ \sim

normal congruences on a weakly type B semigroup are characterized and the relationship between

∼ \sim

admissible congruences and

∼ \sim

normal congruences is investigated. In particular, some properties of such congruences on a weakly type B semigroup are given using an approach of kernel-trace. Finally, we extend the congruence pair on an inverse semigroup to the case of a weakly type B semigroup and obtain some results.