On the homological structures associated with certain Artin algebras
type: Item
instance of: scholarly article
title: On the homological structures associated with certain Artin algebras
zbMATH Open document ID: 0574.16012
DOI: 10.1016/0021-8693(85)90083-3
author: Lillian E. Peters Hupert
published in: Journal of Algebra
publication date: 1985-01-01T00:00:00Z
review text: Let R be a finite dimensional algebra over an algebraically closed field F. The author continues his investigations [ibid. 69, 43-66 (1981; Zbl 0461.16026) and 87, 16-27 (1984; Zbl 0547.16011)] on properties of the extension rings \(Ext^*_ R(S,S)\), where S is a simple left R-module, and \(\oplus Ext^*_ R(S_ i,S_ j)\), where the summation is taken over all pairs \((S_ i,S_ j)\) of simple left R-modules. Under the condition that the indecomposable projective or injective left R-modules are uniserial the author gets results on generating elements of these extension rings.
Mathematics Subject Classification ID: 16P10
Mathematics Subject Classification ID: 16S20
Mathematics Subject Classification ID: 16L60
Mathematics Subject Classification ID: 16Exx
Mathematics Subject Classification ID: 16P20
zbMATH DE Number: 3916494
zbMATH Keywords: finite dimensional algebra
zbMATH Keywords: extension rings
zbMATH Keywords: generating elements
MaRDI profile type: Publication
full work available at URL: 0021-8693(85)90083-3
OpenAlex ID: W1967271616
cites work: Homological characteristics of Nakayama algebras
cites work: Homological characteristics of pro-uniserial rings
cites work: Homological characteristics of rings having Jacobson radical squared zero
cites work: Homology
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description: scientific article; zbMATH DE number 3916494