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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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 . 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.
|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
|Date Deposited:||18 Jun 2009|
|Last Modified:||27 Mar 2014 18:47|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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