In this paper, we give a characterization of digraphs Q, pipeQpipeâ¤4 such that the associated Hecke-Kiselman monoids HQ are finite. In general, a necessary condition for HQ to be a finite monoid is that Q is acyclic and its Coxeter components are Dynkin diagrams. We show, by constructing examples, that such conditions are not sufficient. Â© 2012 Springer Science+Business Media, LLC.
|Titolo:||Hecke-Kiselman monoids of small cardinality|
|Data di pubblicazione:||2013|
|Appare nelle tipologie:||1.1 Articolo in rivista|