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arXiv · 1003.4137

Quasi-ideal transversals of abundant semigroups and spined products

Jehan Al-Bar·James Renshaw
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Abstract

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.

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Jehan Al-Bar, James Renshaw. 2010-03-22. Quasi-ideal transversals of abundant semigroups and spined products. https://arxiv.org/abs/1003.4137

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