Periodic modules over general quantum Laurent polynomials
type: Item
instance of: scholarly article
title: Periodic modules over general quantum Laurent polynomials
zbMATH Open document ID: 0924.16006
DOI: 10.1007/BF02355002
published in: Mathematical Notes
publication date: 1999-09-21T00:00:00Z
review text: We preserve the notation of the preceding review Zbl 0924.16005. The author continues with investigation of finitely generated \(A\)-modules [initiated in Mat. Zametki 59, No. 4, 497-503 (1996; Zbl 0879.16013), Mat. Sb. 185, No. 7, 3-12 (1994; Zbl 0849.16003)]. The main result is: if \(M\) is a non-zero finitely generated periodic (i.e. torsion) \(A\)-module then \(M\) is cyclic and there exists a basis \(Y_1,\dots,Y_n\) of \(G\) such that \(M\) is finitely generated projective over the subalgebra generated by \(D\) and \(Y_1,\dots,Y_{n-1}\).
Mathematics Subject Classification ID: 16D60
Mathematics Subject Classification ID: 16S36
Mathematics Subject Classification ID: 16S35
Mathematics Subject Classification ID: 16W60
zbMATH DE Number: 1237975
zbMATH Keywords: quantum Laurent polynomials
zbMATH Keywords: periodic modules
zbMATH Keywords: finitely generated modules
author: Vyacheslav A. Artamonov
reviewed by: Nicolás Andruskiewitsch
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02355002
OpenAlex ID: W2159085706
description: scientific article; zbMATH DE number 1237975