DOI: 10.1515/math-2023-0152 ISSN: 2391-5455
A characterization of a ∼ admissible congruence on a weakly type B semigroup
Chunhua Li, Jieying Fang, Lingxiang Meng, Huawei Huang 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.