On adequate transversals
On adequate transversals
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.
semigroup, adequate, abundant, transversal
2309-2324
Al-Bar, Jehan
f9a3238a-9228-413c-8f75-171d6f194422
Renshaw, James
350100c1-f7c7-44d3-acfb-29b94f21731c
1 July 2009
Al-Bar, Jehan
f9a3238a-9228-413c-8f75-171d6f194422
Renshaw, James
350100c1-f7c7-44d3-acfb-29b94f21731c
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.
Text
adequate.pdf
- Author's Original
More information
Submitted date: 18 May 2007
Published date: 1 July 2009
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)
Keywords:
semigroup, adequate, abundant, transversal
Identifiers
Local EPrints ID: 49749
URI: http://eprints.soton.ac.uk/id/eprint/49749
ISSN: 0092-7872
PURE UUID: 725ab4a7-e0f1-428c-b622-5909ac7a53bb
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Date deposited: 28 Nov 2007
Last modified: 16 Mar 2024 02:39
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Author:
Jehan Al-Bar
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