most recent 30 from http://mathoverflow.net 2013-05-25T08:19:25Z http://mathoverflow.net/feeds/question/118772 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/118772/name-for-a-regular-band Roman Cheplyaka 2013-01-13T00:34:49Z 2013-01-13T01:14:34Z

<p>Is there a name for regular bands that satisfy $xyx=yx$ for all $x$,$y$?</p>

http://mathoverflow.net/questions/118772/name-for-a-regular-band/118773#118773 Benjamin Steinberg 2013-01-13T00:53:27Z 2013-01-13T01:14:34Z

<p>A right regular band. The dual notion of left regular bands has been used to study random walks on hyperplane arrangements and oriented matroids. The paper of Ken Brown on Semigroups, rings and Markov chains is a good place to start. My paper with Margolis and Saliola gives more details on the representation theory as does Saliola's solo paper. </p>