Relative tor functors with respect to a semidualizing module

DOI10.1007/s10468-012-9389-4zbMath1295.13023arXiv1201.5869OpenAlexW1967526909MaRDI QIDQ2015172

Elham Tavasoli, Siamak Yassemi, Maryam Salimi, Sean K. Sather-Wagstaff

Publication date: 23 June 2014

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.5869

zbMATH Keywords

relative homologyproper resolutionssemidualizing modules

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)

Related Items (17)

Notes on linkage of modules with respect to a semidualizing module ⋮ Relative tor functors for level modules with respect to a semidualizing bimodule ⋮ Auslander Class, G_C, andC–projective Modules Modulo Exact Zero-divisors ⋮ Relative weak injective and weak flat modules with respect to a semidualizing module ⋮ A study of Tate homology via the approximation theory with applications to the depth formula ⋮ Balance for relative cohomology of complexes ⋮ Relative grade and relative Gorenstein dimension with respect to a semidualizing module ⋮ On reduced G-perfection and horizontal linkage ⋮ Vanishing of stable homology with respect to a semidualizing module ⋮ Syzygy and torsionless modules with respect to a semidualizing module ⋮ Dual of bass numbers and dualizing modules ⋮ Tate homology of modules based on Tate \(\mathcal {F}_C\)-resolutions ⋮ Relative stable (co)homology ⋮ On Balance for Relative Homology ⋮ Relative tilting modules with respect to a semidualizing module ⋮ Tensor product of C-injective modules ⋮ Relative and Tate homology with respect to semidualizing modules

Cites Work

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• Semi-dualizing complexes and their Auslander categories
• ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
• Gorenstein Modules and Related Modules.
• Classes of extensions and resolutions
• Growth in the minimal injective resolution of a local ring
• Bass Numbers and Semidualizing Complexes
• Homological aspects of semidualizing modules
• Foundations of relative homological algebra

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