Regular symmetric algebras
type: Item
instance of: scholarly article
title: Regular symmetric algebras
zbMATH Open document ID: 0642.13009
DOI: 10.1016/0021-8693(88)90137-8
author: Sarah Glaz
published in: Journal of Algebra
publication date: 1988-01-01T00:00:00Z
review text: Let R be a commutative (coherent or Noetherian) regular ring (regular means that every finitely general ideal of R has finite projective dimension) and let S be an R-algebra. The question dealt with in this paper is under what conditions will S be a coherent regular ring. Special attention is paid to: symmetric algebras of flat modules, polynomial rings and group rings of abelian groups.
Mathematics Subject Classification ID: 13C10
Mathematics Subject Classification ID: 13D05
Mathematics Subject Classification ID: 13F20
Mathematics Subject Classification ID: 16S34
zbMATH DE Number: 4045899
zbMATH Keywords: finite projective dimension
zbMATH Keywords: coherent regular ring
zbMATH Keywords: symmetric algebras
zbMATH Keywords: polynomial rings
zbMATH Keywords: group rings
reviewed by: Serban Raianu
MaRDI profile type: Publication
full work available at URL: 0021-8693(88)90137-8
OpenAlex ID: W2008788612
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description: scientific article; zbMATH DE number 4045899