Cotilting modules over tame hereditary algebras.
type: Item
instance of: scholarly article
title: Cotilting modules over tame hereditary algebras.
zbMATH Open document ID: 1070.16014
author: Aslak Bakke Buan
author: Henning Krause
published in: Pacific Journal of Mathematics
publication date: 2004-09-16T00:00:00Z
review text: This paper discusses cotilting modules of injective dimension at most one over a finite-dimen\-sion\-al algebra. In the first part of the paper, the authors establish, for a left Noetherian ring \(\Lambda\), a bijective correspondence between equivalence classes of (possibly infinitely generated) cotilting \(\Lambda\)-modules and torsion pairs \((T,F)\) for the category of finitely generated \(\Lambda\)-modules with \(\Lambda\in F\). In the second part, the authors give a complete classification of all cotilting modules over a tame hereditary Artin algebra. Cotilting modules are pure-injective, and their arguments make use of the well-known classification of indecomposable pure-injective modules over tame hereditary Artin algebras.
reviewed by: Nguyen Viet Dung
Mathematics Subject Classification ID: 16G10
Mathematics Subject Classification ID: 16E30
Mathematics Subject Classification ID: 16G60
zbMATH DE Number: 2101098
zbMATH Keywords: cotilting modules
zbMATH Keywords: pure-injective modules
zbMATH Keywords: tame hereditary Artin algebras
MaRDI profile type: Publication
full work available at URL: pjm.2003.211.41
OpenAlex ID: W1995736663
DOI: 10.2140/PJM.2003.211.41
description: scientific article; zbMATH DE number 2101098