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Graded Modules of Gelfand–Kirillov Dimension One over Three-Dimensional Artin–Schelter Regular Algebras

✍ Scribed by Martine Van Gastel; Michel Van den Bergh

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 347 KB
Volume: 196
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.7072

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✦ Synopsis

Let A be a three dimensional Artin᎐Schelter regular algebra. We give a description of the category of finitely generated A-modules of Gelfand᎐Kirillov Ž . dimension one modulo those of finite dimension over the ground field . The proof is based upon a result by Gabriel which says that locally finite categories can be described by module categories over topological rings. ᮊ 1997 Academic Press CONTENTS 1. Introduction.

2. Notations and con¨entions.

Pseudocompact rings.

A matrix representation for pseudocompact rings.

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