Balance for relative (co)homology in abelian categories

DOI10.1007/S41980-019-00211-9zbMath1423.13088OpenAlexW2921841949WikidataQ128216192 ScholiaQ128216192MaRDI QIDQ2330395

Zhen Zhang

Publication date: 22 October 2019

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

Full work available at URL: https://doi.org/10.1007/s41980-019-00211-9

zbMATH Keywords

derived functorbalanced functorrelative homology (cohomology)

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Syzygies, resolutions, complexes and commutative rings (13D02) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Commutative rings and modules of finite generation or presentation; number of generators (13E15)

Cites Work

• Comparison of relative cohomology theories with respect to semidualizing modules
• On Gorenstein projective, injective and flat dimensions -- a functorial description with applications
• Gorenstein cohomology in abelian categories
• Relative homological algebra
• On the finiteness of Gorenstein homological dimensions
• Classes of extensions and resolutions
• The homological theory of maximal Cohen-Macaulay approximations
• Gorenstein derived functors
• BALANCE FOR RELATIVE HOMOLOGY WITH RESPECT TO SEMIDUALIZING MODULES
• Foundations of relative homological algebra

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