Koszul modules and Gorenstein algebras
type: Item
instance of: scholarly article
title: Koszul modules and Gorenstein algebras
zbMATH Open document ID: 0866.14030
published in: Journal of Algebra
publication date: 1996-04-24T00:00:00Z
review text: The author introduces Koszul modules. The first part of the paper is devoted to the study of their properties. Then it is proved that if \(A\) is a local or a graded CM ring, a Gorenstein algebra of codimension one or two over \(A\) is a Koszul module. This generalizes a well-known statement for rank one modules. Then a structure theorem for Gorenstein algebras of codimension one or two over a local or graded CM ring is obtained.
Mathematics Subject Classification ID: 14M10
Mathematics Subject Classification ID: 13C14
Mathematics Subject Classification ID: 13H10
Mathematics Subject Classification ID: 13D25
zbMATH DE Number: 870174
zbMATH Keywords: Koszul module
zbMATH Keywords: Gorenstein algebras
zbMATH Keywords: graded CM ring
author: Michele Grassi
reviewed by: Cristodor-Paul Ionescu
MaRDI profile type: Publication
full work available at URL: jabr.1996.0102
OpenAlex ID: W1974986871
DOI: 10.1006/JABR.1996.0102
description: scientific article; zbMATH DE number 870174