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arXiv · 1206.5221

Hecke-Kiselman Monoids of Small Cardinality

Riccardo Aragona·Alessandro D'Andrea
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Abstract

In this paper, we give a characterization of digraphs $Q, |Q|\leq 4$ 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.

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BibTeXRIS

Riccardo Aragona, Alessandro D'Andrea. 2012-06-22. Hecke-Kiselman Monoids of Small Cardinality. https://doi.org/10.1007/s00233-012-9422-2

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