Tate homology of modules based on Tate \(\mathcal {F}_C\)-resolutions
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Publication:1734038
DOI10.1007/s41980-018-0023-zzbMath1408.13036OpenAlexW2789063046MaRDI QIDQ1734038
Xiaoqiang Luo, Pengju Ma, Ren Yu 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/s41980-018-0023-z
Homological dimension and commutative rings (13D05) Syzygies, resolutions, complexes and commutative rings (13D02) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)
Cites Work
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- AB-contexts and stability for Gorenstein flat modules with respect to semidualizing modules
- Tate cohomology of Gorenstein flat modules with respect to semidualizing modules
- Tate cohomology with respect to semidualizing modules
- Semi-dualizing modules and related Gorenstein homological dimensions
- Comparison of relative cohomology theories with respect to semidualizing modules
- Foxby equivalence over associative rings.
- Gorenstein homological dimensions.
- Relative tor functors with respect to a semidualizing module
- Tate homology of modules of finite Gorenstein flat dimension.
- Relative and Tate homology with respect to semidualizing modules
- Balance with unbounded complexes
- ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
- Gorenstein Modules and Related Modules.
- Absolute, Gorenstein, and Tate Torsion Modules
- Ring Homomorphisms and Finite Gorenstein Dimension
- Gorenstein derived functors
- Foxby Equivalence and Cotorsion Theories relative to Semi-dualizing Modules
- Tate (co)homology via pinched complexes
- Gorenstein projective dimension for complexes
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