2010/03/18 by Nassraddin Ghroda, Victoria Gould, Ghroda, Nassraddin +1
Mathematics · #20M10 #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:20M10
paper · pdf · doi:10.48550/arxiv.1003.3640
arxiv created 2010/03/18 · arxiv updated 2010/03/19
We examine, in a general setting, a notion of inverse semigroup of left quotients, which we call left I-quotients. This concept has appeared, and has been used, as far back as Clifford's seminal work describing bisimple inverse monoids in terms of their right unit subsemigroups. As a consequence of our approach, we find a straightforward way of extending Clifford's work to bisimple inverse semigroups (a step that has previously proved to be awkward). We also put some earlier work on Gantos into a wider and clearer context, and pave the way for further progress.