Quasi-adequate semigroups

Author:

El-Qallali A.,Fountain J. B.

Abstract

SynopsisThe investigation of general quasi-adequate semigroups is initiated. These are semigroups which are abundant and in which the idempotents form a subsemigroup. For such a semigroup S we study the minimum good congruence γ such that S/γ is adequate. Results on γ together with results from a previous paper of the authors are used to obtain a structure theorem for a class of quasi-adequate semigroups.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 56 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Abundant semigroups with weakly simplistic RGQA transversals;Filomat;2023

2. Quasi-adequate semigroups with medial idempotents;Journal of Algebra and Its Applications;2022-12-28

3. Abundant semigroups with medial idempotents;Categories and General Algebraic Structures with Applications;2021-07-01

4. A network of congruences on an ample semigroup;Semigroup Forum;2021-03-16

5. On refined generalised quasi-adequate transversals;Filomat;2021

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