Tate cohomology for complexes with finite Gorenstein AC-injective dimension

DOI10.1007/S41980-018-0122-XzbMath1409.18016OpenAlexW2795929794WikidataQ114217379 ScholiaQ114217379MaRDI QIDQ1734188

Jianmin Xing, Jiangsheng Hu, Yun Xia Li, Ti Wei Zhao

Publication date: 22 March 2019

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-018-0122-x

zbMATH Keywords

complexesTate cohomologyabsolutely cleanGorenstein AC-injective

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Homological dimension in associative algebras (16E10)

Related Items (1)

The right Gorenstein subcategory \(r\mathcal{G}(\mathscr{C},\mathscr{D})\)

Cites Work

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• On right orthogonal classes and cohomology over Ding-Chen rings
• Tate cohomology with respect to semidualizing modules
• Generalized Tate cohomology.
• On Gorenstein projective, injective and flat dimensions -- a functorial description with applications
• On a question of Gillespie
• A model structure approach to the Tate-Vogel cohomology
• Homological dimensions of unbounded complexes
• Gorenstein homological dimensions.
• Gorenstein dimensions
• Gorenstein injective and projective modules
• Relative homological algebra
• Model structures on modules over Ding-Chen rings.
• Strongly Gorenstein Flat Dimensions of Complexes
• Cotorsion pairs and model structures on Ch(R)
• ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
• Cohomology theories based on Gorenstein injective modules
• Weak Injective and Weak Flat Modules
• Gorenstein derived functors
• Foxby equivalence relative to $C$-weak injective and $C$-weak flat modules
• The flat model structure on 𝐂𝐡(𝐑)
• Gorenstein Injective Dimension for Complexes and Iwanaga–Gorenstein Rings
• Absolutely Pure Modules
• Gorenstein projective dimension for complexes

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