Generalized Tate cohomology.

DOI10.21099/TKBJM/1496164963zbMath1095.16003OpenAlexW272491648MaRDI QIDQ820175

Alina C. Iacob

Publication date: 6 April 2006

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21099/tkbjm/1496164963

zbMATH Keywords

Gorenstein projectivesGorenstein projective dimensiongeneralized Tate cohomologyexact sequences of complexesAvramov-Martsinkovsky exact sequencescomplete injective resolutionslong cohomology exact sequencesrelative homology theoriesrelative projective resolutions

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Syzygies, resolutions, complexes in associative algebras (16E05) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

Related Items (13)

Gorenstein complexes and recollements from cotorsion pairs ⋮ Tate homology of modules of finite Gorenstein flat dimension. ⋮ Relative derived categories ⋮ Avramov-Martsinkovsky type exact sequences with \(\mathrm {Tor}\) functors ⋮ Generalized Tate cohomology and Avramov–Martsinkovsky type sequences ⋮ Remarks on balance for Tate and generalized Tate (co)homology ⋮ Relative cohomology and generalized Tate cohomology ⋮ On Gorenstein injective discrete modules over profinite groups. ⋮ Tate cohomology for complexes with finite Gorenstein AC-injective dimension ⋮ On right orthogonal classes and cohomology over Ding-Chen rings ⋮ Relative homological algebra in the category of quasi-coherent sheaves. ⋮ Balance of complete cohomology in extriangulated categories ⋮ Dimension of complexes related to special Gorenstein projective precovers

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