Quasi-ideal transversals of abundant semigroups and spined products

Details Quasi-ideal transversals of abundant semigroups and spined products Quasi-ideal transversals of abundant semigroups and spined products

2010-03-22

arxiv.org/abs/1003.4137v1

Mathematics

Group Theory

Scientific paper

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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