In this paper, we give a characterization of digraphs Q, |Q|a parts per thousand currency sign4 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.
Hecke-Kiselman monoids of small cardinality / ARAGONA, RICCARDO; D'ANDREA, Alessandro. - In: SEMIGROUP FORUM. - ISSN 0037-1912. - STAMPA. - 86:1(2013), pp. 32-40. [10.1007/s00233-012-9422-2]
Hecke-Kiselman monoids of small cardinality
ARAGONA, RICCARDO
;D'ANDREA, Alessandro
2013
Abstract
In this paper, we give a characterization of digraphs Q, |Q|a parts per thousand currency sign4 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.File allegati a questo prodotto
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