A class of AS-regular algebras of dimension five.
type: Item
instance of: scholarly article
title: A class of AS-regular algebras of dimension five.
zbMATH Open document ID: 1271.16014
published in: Journal of Algebra
publication date: 2013-02-21T00:00:00Z
review text: The aim of the paper is a classification of Artin-Schelter regular graded algebras of global dimension 5 which are generated by two elements of degree 1 and with three defining relations of degree 4. It is assumed that some generic conditions on coefficients of defining relations are satisfied. It is shown that there exist exactly 9 classes of these algebras and they are domains. These algebras are strongly Noetherian, Auslander regular and Cohen-Macaulay.
Mathematics Subject Classification ID: 16E65
Mathematics Subject Classification ID: 16W50
Mathematics Subject Classification ID: 16S38
Mathematics Subject Classification ID: 16S15
zbMATH DE Number: 6138251
zbMATH Keywords: Artin-Schelter regular algebras
zbMATH Keywords: global dimension
zbMATH Keywords: graded algebras
zbMATH Keywords: generators and relations
author: Shengqiang Wang
author: Quan-Shui Wu
reviewed by: Vyacheslav A. Artamonov
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2012.04.012
OpenAlex ID: W2021614607
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DOI: 10.1016/J.JALGEBRA.2012.04.012
description: scientific article; zbMATH DE number 6138251