A classification of inverse transversals

Maria Helena Coutinho Gomes de Almeida Santos; Tom S.  Blyth

doi:10.1081/AGB-100001527

A classification of inverse transversals

Maria Helena Coutinho Gomes de Almeida Santos, Tom S. Blyth

DM - Departamento de Matemática

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

16 Citations (Scopus)

Abstract

A natural characterization of known types of inverse transversal leads to the introduction of several new types, which we characterize in a similar natural way. Relations between the various types produce a general classification. We also determine for which types of inverse transversal considered the congruence extension property holds.

Original language	English
Pages (from-to)	611-624
Number of pages	14
Journal	Communications in Algebra
Volume	29
Issue number	2
DOIs	https://doi.org/10.1081/AGB-100001527
Publication status	Published - 1 Jan 2001

Keywords

Inverse transversal
Regular semigroup

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10.1081/AGB-100001527

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title = "A classification of inverse transversals",

abstract = "A natural characterization of known types of inverse transversal leads to the introduction of several new types, which we characterize in a similar natural way. Relations between the various types produce a general classification. We also determine for which types of inverse transversal considered the congruence extension property holds.",

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KW - inverse

KW - transversal

KW - ordered

KW - regular-semigroups

KW - semigroup

KW - idempotents

KW - regular

KW - Inverse transversal

KW - Regular semigroup

U2 - 10.1081/AGB-100001527

DO - 10.1081/AGB-100001527

M3 - Article

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SP - 611

EP - 624

JO - Communications in Algebra

JF - Communications in Algebra

SN - 0092-7872

IS - 2

ER -

A classification of inverse transversals

Abstract

Keywords

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