Hecke-Kiselman Monoids of Small Cardinality

2012/06/22 by Riccardo Aragona, Alessandro D'Andrea · 1 citation
Mathematics · #math.CO

paper · pdf · doi:10.1007/s00233-012-9422-2

published as Semigroup Forum 86 (1), 32-40 (2013)

arxiv created 2012/06/22 · arxiv updated 2016/11/11

Abstract

In this paper, we give a characterization of digraphs Q, |Q|≤ 4 such that the associated Hecke-Kiselman monoid H_Q is finite. In general, a necessary condition for H_Q to be a finite monoid is that Q is acyclic and its Coxeter components are Dynkin diagram. We show, by constructing examples, that such conditions are not sufficient.

Cited by

• Homomorphisms of Hecke-Kiselman Monoids Associated to Simple Oriented Graphs

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