Congruences on regular and completely regular semigroups

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Congruences on Regular Semigroups

Let S be a regular semigroup and let p be a congruence relation on S. The kernel of p, in notation kerp, is the union of the idempotent p-classes. The trace of p, in notation trp, is the restriction of p to the set of idempotents of S. The pair (kerp,trp) is said to be the congruence pair associated with p. Congruence pairs can be characterized abstractly, and it turns out that a congruence is ...

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ژورنال

عنوان ژورنال: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics

سال: 1982

ISSN: 0263-6115

DOI: 10.1017/s1446788700024940