On adequate transversals
Al-Bar, Jehan and Renshaw, James (2009) On adequate transversals. Communication in Algebra, 37, (7), 2309-2324. (doi:10.1080/00927870802622973)
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Official URL: http://dx.doi.org/10.1080/00927870802622973
Description/Abstract
We consider adequate transversals of abundant semigroups and prove that, in a particular
case, there is a natural embedding of an inverse transversal within a certain regular
subsemigroup. We also introduce the concepts of simplistic, perfect and quasi-adequate
transversal and provide a number of interesting connections between these.
| Item Type: | Article |
|---|---|
| Additional Information: | Author Posting. (c) 'University of Southampton', 2009. This is the author's version of the work. It is posted here by permission of 'University of Southampton' for personal use, not for redistribution. The definitive version was published in Communications in Algebra, Volume 37 Issue 7, July 2009. doi:10.1080/00927870802622973 (http://dx.doi.org/10.1080/00927870802622973) |
| ISSN: | 0092-7872 (print) |
| Uncontrolled Keywords: | semigroup, adequate, abundant, transversal |
| Related URLs: | http://dx.doi.org/10.1080/0092...0802622973 |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics |
| ePrint ID: | 49749 |
| Deposited On: | 28 Nov 2007 |
| Last Modified: | 01 Jun 2011 12:53 |
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- On adequate transversals. (deposited 10 Dec 2007)
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