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Quasi-ideal transversals of abundant semigroups and spined products

Al-Bar, Jehan and Renshaw, James (2011) Quasi-ideal transversals of abundant semigroups and spined products Semigroup Forum, 83, (3), pp. 522-537. (doi:10.1007/s00233-010-9223-4).

Record type: Article

Abstract

We provide a new and much simpler structure for quasi-ideal adequate transversals of abundant semigroups in terms of spined products, which is similar in nature to that given by Saito for weakly multiplicative inverse transversals of regular semigroups [10]. As a consequence we deduce a similar result for multiplicative transversals of abundant semigroups and also consider the case when the semigroups are in fact regular and provide some new structure theorems for inverse transversals.

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More information

Submitted date: 17 June 2009
Accepted/In Press date: 17 June 2009
Published date: 21 November 2011
Keywords: abundant semigroup, adequate semigroup, adequate transversal, spined product, quasi-ideal, multiplicative, inverse transversal, regular semigroup
Organisations: Pure Mathematics

Identifiers

Local EPrints ID: 66453
URI: http://eprints.soton.ac.uk/id/eprint/66453
ISSN: 0037-1912
PURE UUID: 5827e2d3-8f2f-43f8-b827-275622c28968

Catalogue record

Date deposited: 18 Jun 2009
Last modified: 19 Jul 2017 00:24

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