Hecke-Kiselman monoids of small cardinality |
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| Authors: | Riccardo Aragona Alessandro D’Andrea |
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| Institution: | 1. Dipartimento di Matematica, Universitá di Roma “La Sapienza”, Piazzale Aldo Moro, 5, 00185, Rome, Italy
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| Abstract: | In this paper, we give a characterization of digraphs Q, |Q|≤4 such that the associated Hecke-Kiselman monoids H Q are 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 diagrams. We show, by constructing examples, that such conditions are not sufficient. |
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