Inverse transversal congruence extensions

M. H. Almeida Santos

doi:10.1080/00927879808826171

Inverse transversal congruence extensions

M. H. Almeida Santos

DM - Departamento de Matemática

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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 language	English
Pages (from-to)	889-898
Number of pages	10
Journal	Communications in Algebra
Volume	26
Issue number	3
DOIs	https://doi.org/10.1080/00927879808826171
Publication status	Published - 1 Dec 1998

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AB - 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.

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Inverse transversal congruence extensions

Abstract

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