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

作者：Li, Chunhua^*; Fang, Jieying; Meng, Lingxiang; Huang, Huawei

来源：Open Mathematics, 2023, 21(1): 20230152.

DOI：10.1515/math-2023-0152

• weakly type B semigroups
• similar to admissible congruences
• similar to normal congruences
• similar to normal subsemigroups
• congruence pairs

In this article, the notions of(similar to) admissible congruences and(similar to) normal congruences on a weakly type B semigroup are characterized and the relationship between(similar to) admissible congruences and(similar to) 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.

• 单位
  华东交通大学; 贵州师范大学