Coreflexive modules and semidualizing modules with finite projective dimension
type: Item
instance of: scholarly article
title: Coreflexive modules and semidualizing modules with finite projective dimension
zbMATH Open document ID: 1401.18037
author: Xi Tang
author: Zhaoyong Huang
published in: Taiwanese Journal of Mathematics
publication date: 2018-05-23T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.twjm/1502935251
review text: Let \(R\) and \(S\) be two rings, and let \(_R\omega_S\) be a semidualizing bimodule. For a subclass \(\mathcal{T}\) of the class of \(\omega\)-coreflexive modules, the authors introduce and study some objects called modules of \(\omega-\mathcal{T}\)- class \(n\), where \(n\) is a positive integer. These are used to provide information about the projective dimension of \(\omega\) as an \(R\)-module and as an \(S\)-module.
reviewed by: Constantin Năstăsescu
Mathematics Subject Classification ID: 18G25
Mathematics Subject Classification ID: 16E10
Mathematics Subject Classification ID: 16E30
zbMATH DE Number: 6871370
zbMATH Keywords: HT-projections
zbMATH Keywords: modules of \(\omega\)-\(\mathcal{T}\)-class \(n\)
zbMATH Keywords: (adjoint) \(\omega\)-coreflexive modules
zbMATH Keywords: (adjoint) \(\omega\)-cotorsionless modules
zbMATH Keywords: (adjoint) \(n\)-\(\omega\)-cospherical modules
zbMATH Keywords: projective dimension
zbMATH Keywords: Wakamatsu tilting conjecture
MaRDI profile type: Publication
OpenAlex ID: W2749541443
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DOI: 10.11650/TJM/8009
description: scientific article; zbMATH DE number 6871370