The maximum idempotent-separating congruence on a regular semigroup
- 1 December 1972
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Edinburgh Mathematical Society
- Vol. 18 (2), 159-163
- https://doi.org/10.1017/s0013091500009846
Abstract
It has been established by G. Lallement (3) that the set of idempotent-separating congruences on a regular semigroup S coincides with the set ∑() of congruences on S which are contained in Green's equivalence on S. In view of this and Lemma 10.3 of A. H. Clifford and G. B. Preston (1) it is obvious that the maximum idempotent-separating congruence on a regular semigroup S is given byKeywords
This publication has 4 references indexed in Scilit:
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- Demi-groupes réguliersAnnali di Matematica Pura ed Applicata (1923 -), 1967
- The Maximum Idempotent-Separating Congruence on an Inverse SemigroupProceedings of the Edinburgh Mathematical Society, 1964