Growth alternative for Hecke-Kiselman monoids
Meçel, Arkadiusz (University of Warsaw (Polònia). Institute of Mathematics)
Okniński, Jan (University of Warsaw (Polònia). Institute of Mathematics)

Date:	2019
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.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Oriented simple graph ; Hecke-Kiselman monoid ; Gelfand-Kirillov dimension ; Growth alternative
Published in:	Publicacions matemàtiques, Vol. 63 Núm. 1 (2019) , p. 219-240 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/347136
DOI: 10.5565/PUBLMAT6311907

22 p, 445.7 KB

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