Inverse transversal congruence extensions

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Abstract

If S is a regular semigroup then an inverse transversal of S is an inverse subsemigroup S° that contains precisely one inverse x° of each x ∈ S. Here we describe, for every congruence π on S° that can be extended to S, the smallest extension of π. We also describe the idempotent separating congruences on S.

Original languageEnglish
Pages (from-to)889-898
Number of pages10
JournalCommunications in Algebra
Volume26
Issue number3
DOIs
Publication statusPublished - 1 Dec 1998

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