Al-Bar, Jehan and Renshaw, James
Quasi-ideal transversals of abundant semigroups and spined products
Semigroup Forum, 83, (3), . (doi:10.1007/s00233-010-9223-4).
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.
|Digital Object Identifier (DOI):
||abundant semigroup, adequate semigroup, adequate transversal, spined product, quasi-ideal, multiplicative, inverse transversal, regular semigroup
|17 June 2009||Submitted|
|17 June 2009||Accepted/In Press|
|21 November 2011||Published|
||18 Jun 2009
||18 Apr 2017 21:37
|Further Information:||Google Scholar|
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