Tilting modules over almost perfect domains
type: Item
instance of: scholarly article
title: Tilting modules over almost perfect domains
zbMATH Open document ID: 1218.13004
author: Mohammad Jarrar
author: Jawad Abuhlail
published in: Journal of Pure and Applied Algebra
publication date: 2011-05-10T00:00:00Z
full work available at URL: https://arxiv.org/abs/0903.1099
review text: An associative ring \(R\) is a perfect ring if every \(R\)-module has a projective cover. The ring \(R\) is an almost perfect ring if for every non-zero ideal \(I\) of \(R\), the ring \(R/I\) is a perfect ring. The paper under review classifies tilting modules over almost perfect domains, and cotilting modules over almost perfect Noetherian domains. Reviewer's comment: In the paper compactly packed and coprimely packed notions are used as if they are synonymous, and they are not, the later is a generalization of the former, the needed notion throughout the paper is ``coprimely packed''.
reviewed by: Vahap Erdogdu
Mathematics Subject Classification ID: 13C13
Mathematics Subject Classification ID: 13D07
Mathematics Subject Classification ID: 13H99
zbMATH DE Number: 5886359
zbMATH Keywords: almost perfect Noetherian domains
zbMATH Keywords: cotilting modules
MaRDI profile type: Publication
OpenAlex ID: W2962971612
arXiv ID: 0903.1099
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DOI: 10.1016/J.JPAA.2010.11.013
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