Graded modules of Gelfand-Kirillov dimension one over three-dimensional Artin-Schelter regular algebras
type: Item
instance of: scholarly article
title: Graded modules of Gelfand-Kirillov dimension one over three-dimensional Artin-Schelter regular algebras
zbMATH Open document ID: 0902.16035
author: Martine Van Gastel
author: Michel Van den Bergh
published in: Journal of Algebra
publication date: 1998-07-12T00:00:00Z
review text: A description of the category of finitely generated modules of Gelfand-Kirillov dimension one over a three-dimensional Artin-Schelter regular algebra is given. The proof of the main result is based on a result of Gabriel stating that locally finite categories are dual to pseudocompact rings.
Mathematics Subject Classification ID: 16W50
Mathematics Subject Classification ID: 16P90
Mathematics Subject Classification ID: 16D90
Mathematics Subject Classification ID: 16P10
zbMATH DE Number: 1089123
zbMATH Keywords: regular algebras
zbMATH Keywords: Gelfand-Kirillov dimension
zbMATH Keywords: graded modules
zbMATH Keywords: topological rings
zbMATH Keywords: categories of finitely generated modules
zbMATH Keywords: locally finite categories
zbMATH Keywords: pseudocompact rings
reviewed by: Constantin Năstăsescu
MaRDI profile type: Publication
full work available at URL: jabr.1997.7072
OpenAlex ID: W2080147395
cites work: Modules Over Elliptic Algebras and Quantum Planes
cites work: Noncommutative projective schemes
cites work: Graded algebras of global dimension 3
cites work: Q3972720
cites work: Modules over regular algebras of dimension 3
cites work: Twisted homogeneous coordinate rings
cites work: Des catégories abéliennes
cites work: Sur quelques points d'algèbre homologique
DOI: 10.1006/JABR.1997.7072
description: scientific article; zbMATH DE number 1089123