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

Author:

Li Chunhua1,Fang Jieying1,Meng Lingxiang1,Huang Huawei2

Affiliation:

1. School of Science, East China Jiaotong University , Nanchang , Jiangxi 330013 , P.R.China

2. School of Mathematics & Computer Science, Guizhou Normal University , Guiyang , Guizhou , P.R.China

Abstract

Abstract In this article, the notions of \sim 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

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