Gorenstein projective dimensions of complexes.

DOI10.1007/s10114-011-8369-7zbMath1305.16004OpenAlexW2034280156MaRDI QIDQ475750

Chun-Xia Zhang, Liu, Zhongkui

Publication date: 27 November 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-8369-7

zbMATH Keywords

Gorenstein projective modulesGorenstein projective complexesGorenstein projective dimensionprojective preenvelopesright coherent left perfect rings

Mathematics Subject Classification ID

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) Homological dimension in associative algebras (16E10)

Related Items (8)

Dimension of complexes related to special Gorenstein projective precovers(II) ⋮ On Ding projective complexes ⋮ Gorenstein projective modules and Frobenius extensions ⋮ Preservation of quasi-isomorphisms of complexes ⋮ Relative cohomology of complexes ⋮ Relative cohomology of complexes based on cotorsion pairs ⋮ A note on Gorenstein projective complexes ⋮ (𝒲,𝒴,𝒳)-Gorenstein complexes

Cites Work

• On Gorenstein projective, injective and flat dimensions -- a functorial description with applications
• Injective and flat covers, envelopes and resolvents
• Flat covers of complexes
• Gorenstein homological dimensions.
• Direct Products of Modules
• Gorenstein injective and projective complexes
• DUALIZING MODULES AND n-PERFECT RINGS
• GORENSTEIN AND Ω-GORENSTEIN INJECTIVE COVERS AND FLAT PREENVELOPES
• FP-PROJECTIVE DIMENSIONS
• Direct sums of exact covers of complexes
• Covers and envelopes in Grothendieck categories: Flat covers of complexes with applications
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