Congruences on regular and completely regular semigroups

Author:

Trotter P. G.

Abstract

AbstractCongruences on regular semigroups have been characterized in terms of normal equivalences on sets of idempotents and kernels of congruences. A revised characterization is presented here with considerably simplified expressions for the least and greatest congruences associated with normal equivalences and with a new description of kernels. The results are then applied to characterize congruences on completely regular semigroups.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Cited by 6 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. Congruences on ideal nil-extension of completely regular semigroups;Chinese Science Bulletin;1998-03

2. Covers for regular semigroups and an application to complexity;Journal of Pure and Applied Algebra;1995-12

3. Congruence extensions in regular semigroups;Journal of Algebra;1991-02

4. R-unipotent congruences on regular semigroups;Semigroup Forum;1985-12

5. Lattices of completely regular semigroup varieties;Pacific Journal of Mathematics;1985-09-01

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