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Quasi-ideal transversals of abundant semigroups and spined products

By Jehan Al-Bar and James Renshaw


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

Topics: QA76
Year: 2011
OAI identifier: oai:eprints.soton.ac.uk:66453
Provided by: e-Prints Soton

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