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), 522-537. (doi:10.1007/s00233-010-9223-4).
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Description/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.
| Item Type: | Article |
|---|---|
| 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 |
| Item ID: | 66453 |
| Date Deposited: | 18 Jun 2009 |
| Last Modified: | 25 Apr 2013 19:11 |
| Contributors: | Al-Bar, Jehan (Author) Renshaw, James (Author) |
| Date: | 21 November 2011 |
| Status: | Published |
| Contact Email Address: | j.h.renshaw@maths.soton.ac.uk |
| URI: | http://eprints.soton.ac.uk/id/eprint/66453 |
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