Hecke-Kiselman monoids of small cardinality

被引：0
|
作者：
Riccardo Aragona
Alessandro D’Andrea
机构：
[1] Universitá di Roma “La Sapienza”,Dipartimento di Matematica
来源：
Semigroup Forum | 2013年 / 86卷
关键词：
Kiselman semigroup; 0-Hecke monoid; Dynkin diagram;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we give a characterization of digraphs Q, |Q|≤4 such that the associated Hecke-Kiselman monoids HQ are finite. In general, a necessary condition for HQ 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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页码：32 / 40
页数：8
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