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Hecke-Kiselman monoids of small cardinality.
- Source :
-
Semigroup Forum . Feb2013, Vol. 86 Issue 1, p32-40. 9p. - Publication Year :
- 2013
-
Abstract
- In this paper, we give a characterization of digraphs Q, | Q|≤4 such that the associated Hecke-Kiselman monoids H are finite. In general, a necessary condition for H 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00371912
- Volume :
- 86
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Semigroup Forum
- Publication Type :
- Academic Journal
- Accession number :
- 85210702
- Full Text :
- https://doi.org/10.1007/s00233-012-9422-2