Quasi-ideal transversals of abundant semigroups and spined products

Al-Bar, Jehan and Renshaw, James (2009) Quasi-ideal transversals of abundant semigroups and spined products. Semigroup Forum, 83, (3), 522-537. (doi:10.1007/s00233-010-9223-4).


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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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1007/s00233-010-9223-4
ISSNs: 0037-1912 (print)
1432-2137 (electronic)
Keywords: abundant semigroup, adequate semigroup, adequate transversal, spined product, quasi-ideal, multiplicative, inverse transversal, regular semigroup
Subjects: Q Science > QA Mathematics > QA76 Computer software
Divisions : University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics
Faculty of Social and Human Sciences > Mathematical Sciences > Pure Mathematics
ePrint ID: 66453
Accepted Date and Publication Date:
17 June 2009Submitted
17 June 2009In press
21 November 2011Published
Date Deposited: 18 Jun 2009
Last Modified: 31 Mar 2016 12:52
URI: http://eprints.soton.ac.uk/id/eprint/66453

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