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On the growth of deformations of algebras associated with Coxeter graphs

We investigate a class of algebras that are deformations of quotient algebras of group algebras of Coxeter groups. For algebras from this class, a linear basis is found by using the “diamond lemma.” A description of all finite-dimensional algebras of this class is given, and the growth of infinite-d...

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Bibliographic Details
Date:	2007
Main Authors:	Popova, N. D., Samoilenko, Yu. S., Strilets, O. V., Попова, Н. Д., Самойленко, Ю. С., Стрілець, О. В.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2007
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3348
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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