2010/03/22 by Jehan A. Al-bar, Jehan Al-Bar, Al-Bar, Jehan +2
Computer Science · Mathematics · #20M10 #Advanced Algebra and Logic #FOS: Mathematics #Group Theory (math.GR) #Rings, Modules, and Algebras #math.GR #msc:20M10 #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.1003.4137
arxiv created 2010/03/22 · openalex publication_date 2010/03/22 · arxiv updated 2010/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.