Gorenstein injective complexes of modules over Noetherian rings.

DOI10.1016/j.jalgebra.2008.11.031zbMath1185.16007OpenAlexW2013320335WikidataQ112881510 ScholiaQ112881510MaRDI QIDQ1014622

Chun-Xia Zhang, Liu, Zhongkui

Publication date: 29 April 2009

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.11.031

zbMATH Keywords

coversGorenstein injective complexesGorenstein injective modulesGorenstein injective dimension

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Syzygies, resolutions, complexes in associative algebras (16E05) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (21)

Gorenstein projective and flat complexes over noetherian rings ⋮ Cartan-Eilenberg Gorenstein-injective \(m\)-complexes ⋮ On Ding projective complexes ⋮ On Gorenstein flat preenvelopes of complexes. ⋮ Homotopy category of projective complexes and complexes of Gorenstein projective modules. ⋮ Relative cohomology of complexes ⋮ Some remarks on projective generators and injective cogenerators ⋮ Relative cohomology of complexes based on cotorsion pairs ⋮ A note on Gorenstein projective complexes ⋮ Gorenstein objects in the category of N-complexes ⋮ A QUILLEN MODEL STRUCTURE APPROACH TO HOMOLOGICAL DIMENSIONS OF COMPLEXES ⋮ \(\mathcal{W}\)-Gorenstein \(N\)-complexes ⋮ Unnamed Item ⋮ Complexes of Gorenstein Flat Modules and Gorenstein Cotorsion Modules ⋮ Gillespie's questions and Grothendieck duality ⋮ Gorenstein coresolving categories ⋮ (𝒲,𝒴,𝒳)-Gorenstein complexes ⋮ Covers and Envelopes by #-ℱ Complexes ⋮ Completely 𝒲-Resolved Complexes ⋮ Gorenstein Injective and Projective Complexes with Respect to a Semidualizing Module ⋮ Dimension of complexes related to special Gorenstein projective precovers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Gorenstein projective, injective and flat dimensions -- a functorial description with applications
• Covers and directed colimits.
• Injective and flat covers, envelopes and resolvents
• Flat covers of complexes
• Gorenstein homological dimensions.
• Ω-Gorenstein Projective and Flat Covers andΩ-Gorenstein Injective Envelopes
• Gorenstein injective and projective complexes
• DUALIZING MODULES AND n-PERFECT RINGS
• GORENSTEIN AND Ω-GORENSTEIN INJECTIVE COVERS AND FLAT PREENVELOPES
• Direct sums of exact covers of complexes
• Covers and envelopes in Grothendieck categories: Flat covers of complexes with applications

This page was built for publication: Gorenstein injective complexes of modules over Noetherian rings.