Extensions of homologically finite subcategories
type: Item
instance of: scholarly article
title: Extensions of homologically finite subcategories
zbMATH Open document ID: 0783.16008
DOI: 10.1007/BF01236075
author: Svein A. Sikko
author: Sverre O. Smalø
published in: Archiv der Mathematik
publication date: 1993-11-15T00:00:00Z
review text: This paper is devoted to studying extensions of homologically finite subcategories. The main result obtained is the following. If \({\mathcal A}\) and \({\mathcal B}\) are contravariantly finite subcategories of \(\text{mod }\Lambda\) for an Artin algebra \(\Lambda\), then the full subcategory of modules \(E\) having a submodule \(A\) in \({\mathcal A}\) with \(E/A\) in \({\mathcal B}\) is also contravariantly finite in \(\text{mod }\Lambda\).
Mathematics Subject Classification ID: 16G10
Mathematics Subject Classification ID: 16D90
Mathematics Subject Classification ID: 16E30
Mathematics Subject Classification ID: 16G70
Mathematics Subject Classification ID: 16P10
Mathematics Subject Classification ID: 16P20
zbMATH DE Number: 446353
zbMATH Keywords: category of finitely presented modules
zbMATH Keywords: extensions of homologically finite subcategories
zbMATH Keywords: contravariantly finite subcategories
zbMATH Keywords: Artin algebra
zbMATH Keywords: full subcategory
zbMATH Keywords: contravariantly finite
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01236075
OpenAlex ID: W2090520626
description: scientific article; zbMATH DE number 446353