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

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...

Full description

Bibliographic Details
Main Authors: Li Chunhua, Fang Jieying, Meng Lingxiang, Huang Huawei
Format: Article
Language:English
Published: De Gruyter 2023-12-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2023-0152
Description
Summary: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.
ISSN:2391-5455