Growth alternative for Hecke-Kiselman monoids

IF 0.8 3区数学 Q2 MATHEMATICS Publicacions Matematiques Pub Date : 2019-01-01 DOI:10.5565/PUBLMAT6311907

Arkadiusz Mȩcel, J. Okniński

引用次数: 8

Abstract

The Gelfand–Kirillov dimension of Hecke–Kiselman algebras defined by oriented graphs is studied. It is shown that the dimension is infinite if and only if the underlying graph contains two cycles connected by an (oriented) path. Moreover, in this case, the Hecke–Kiselman monoid contains a free noncommutative submonoid. The dimension is finite if and only if the monoid algebra satisfies a polynomial identity. 2010 Mathematics Subject Classification: 16P90, 16S15, 16S36, 16S99, 20M05.

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Hecke-Kiselman monoid的生长替代方案

研究了有向图定义的Hecke-Kiselman代数的Gelfand-Kirillov维数。证明了当且仅当底层图包含由一条(有向)路径连接的两个环时，维数是无限的。而且，在这种情况下，Hecke-Kiselman单群包含一个自由非交换子单群。当且仅当一元代数满足多项式恒等式时，维数是有限的。2010数学学科分类:16P90、16S15、16S36、16S99、20M05。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Publicacions Matematiques 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publicacions Matemàtiques is a research mathematical journal published by the Department of Mathematics of the Universitat Autònoma de Barcelona since 1976 (before 1988 named Publicacions de la Secció de Matemàtiques, ISSN: 0210-2978 print, 2014-4369 online). Two issues, constituting a single volume, are published each year. The journal has a large circulation being received by more than two hundred libraries all over the world. It is indexed by Mathematical Reviews, Zentralblatt Math., Science Citation Index, SciSearch®, ISI Alerting Services, COMPUMATH Citation Index®, and it participates in the Euclid Project and JSTOR. Free access is provided to all published papers through the web page. Publicacions Matemàtiques is a non-profit university journal which gives special attention to the authors during the whole editorial process. In 2019, the average time between the reception of a paper and its publication was twenty-two months, and the average time between the acceptance of a paper and its publication was fifteen months. The journal keeps on receiving a large number of submissions, so the authors should be warned that currently only articles with excellent reports can be accepted.

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