\(\omega\)-Gorenstein injective modules and dimensions.
type: Item
instance of: scholarly article
title: \(\omega\)-Gorenstein injective modules and dimensions.
zbMATH Open document ID: 1251.16011
author: Haiyan Zhu
author: Nanqing Ding
published in: Science China. Mathematics
publication date: 2011-07-01T00:00:00Z
review text: The authors investigate Gorenstein injective modules and dimension relative to a Wakamatsu tilting module. After some preparation, they give a characterization of \(\omega\)-Gorenstein injective dimension to be less than or equal to \(n\), where \(\omega\) is a Wakamatsu tilting module (Theorem 4.7). A few applications are done in Section 5.
reviewed by: Kenji Nishida
Mathematics Subject Classification ID: 16E10
Mathematics Subject Classification ID: 16E30
zbMATH DE Number: 5916798
zbMATH Keywords: Wakamatsu tilting modules
zbMATH Keywords: Gorenstein injective modules
zbMATH Keywords: Gorenstein injective dimension
zbMATH Keywords: cotilting modules
Wikidata QID: Q114222426
MaRDI profile type: Publication
full work available at URL: s11425-010-4128-y
OpenAlex ID: W2051758650
cites work: Q4056148
cites work: Injective Dimension in Noetherian Rings
cites work: Homological and homotopical aspects of torsion theories
cites work: Q4828549
cites work: Injective and flat covers, envelopes and resolvents
cites work: Gorenstein injective and projective modules
cites work: Relative homological algebra
cites work: Q4762676
cites work: Ω-Gorenstein Projective and Flat Covers andΩ-Gorenstein Injective Envelopes
cites work: GORENSTEIN AND Ω-GORENSTEIN INJECTIVE COVERS AND FLAT PREENVELOPES
cites work: Covers and Envelopes byV-Gorenstein Modules
cites work: Algebras of Finite Self-Injective Dimension
cites work: Gorenstein homological dimensions.
cites work: Self-orthogonal modules over coherent rings
cites work: Generalized tilting modules with finite injective dimension.
cites work: Duality for derived categories and cotilting bimodules
cites work: Static modules and stable Clifford theory
cites work: Q3882615
cites work: Coherent Rings and Fp -Injective Modules
cites work: Tilting modules and Auslander's Gorenstein property.
cites work: Q4762694
cites work: Homological dimensions over non-commutative semi-local rings
cites work: Flat covers of modules
cites work: Wakamatsu tilting modules with finite FP-injective dimension
DOI: 10.1007/S11425-010-4128-Y
Recommended article: ω-Gorenstein Modules
Recommended article: Q5398974
Recommended article: Ω-Gorenstein Projective, Injective and Flat Modules
Recommended article: Q4529204
Recommended article: Gorenstein injective modules and Ext.
Recommended article: Gorenstein injective dimension and Tor-depth of modules
Recommended article: On Gorenstein FP-injective modules and dimensions
Recommended article: Q4984581
Recommended article: Q5209780
Recommended article: A generalization of Gorenstein injective modules
description: scientific article; zbMATH DE number 5916798