\(d\)-Koszul algebras.
type: Item
instance of: scholarly article
title: \(d\)-Koszul algebras.
zbMATH Open document ID: 1075.16013
author: Pu Zhang
author: E. L. Green
author: Eduardo N. Marcos
author: Roberto Martinez-Villa
published in: Journal of Pure and Applied Algebra
publication date: 2004-08-19T00:00:00Z
review text: Generalized \(d\)-Koszul algebras are graded algebras generated in degrees 0 and 1, such that there exists a graded projective resolution of the part of degree 0 for which the \(n\)-th projective is generated in degree \(\delta(n)\), where \(\delta(n)\) depends on \(n\) and \(d\). It is proved that the even Ext-algebra and the whole Ext-algebra (after regrading) of a \(d\)-Koszul algebra are Koszul algebras. A description of the Ext-algebra of a \(d\)-Koszul algebra by generators and relations is given.
Mathematics Subject Classification ID: 16S37
Mathematics Subject Classification ID: 16E30
Mathematics Subject Classification ID: 16E65
Mathematics Subject Classification ID: 16W50
zbMATH DE Number: 2092910
zbMATH Keywords: Koszul algebras
zbMATH Keywords: Ext algebras
zbMATH Keywords: graded algebras
reviewed by: Serban Raianu
MaRDI profile type: Publication
full work available at URL: j.jpaa.2004.03.012
OpenAlex ID: W1983055962
cites work: Koszul Duality Patterns in Representation Theory
cites work: Koszulity for nonquadratic algebras.
cites work: Projective resolutions over Artin algebras with zero relations
cites work: Q4888459
cites work: Q4217062
cites work: Minimal projective resolutions
DOI: 10.1016/J.JPAA.2004.03.012
description: scientific article; zbMATH DE number 2092910