A study of Tate homology via the approximation theory with applications to the depth formula
From MaRDI portal
Publication:6043143
DOI10.1007/s10114-023-1190-2zbMath1520.13021arXiv1903.04091OpenAlexW4363673545MaRDI QIDQ6043143
Li Liang, Tirdad Sharif, Arash Sadeghi, Olgur Celikbas
Publication date: 4 May 2023
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.04091
Homological dimension and commutative rings (13D05) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- AB-contexts and stability for Gorenstein flat modules with respect to semidualizing modules
- Gorenstein projective dimension with respect to a semidualizing module
- Vanishing of Tate homology and depth formulas over local rings
- Homological algebra modulo exact zero-divisors
- Linkage of finite \(\mathsf{G}_{C}\)-dimension modules
- Vanishing of relative homology and depth of tensor products
- Self-tests for freeness over commutative Artinian rings.
- Tate cohomology with respect to semidualizing modules
- Modules over unramified regular local rings
- Homological invariants associated to semi-dualizing bimodules.
- Semi-dualizing modules and related Gorenstein homological dimensions
- On tensor products of rings and extension conjectures
- Comparison of relative cohomology theories with respect to semidualizing modules
- Complexity and Tor on a complete intersection
- Depth for complexes, and intersection theorems
- Tensor products of modules and the rigidity of Tor
- Surjective-Buchsbaum modules over Cohen-Macaulay local rings
- Tensor products of perfect modules and maximal surjective Buchsbaum modules
- Support varieties and cohomology over complete intersections
- Cohen-Macaulayness of tensor products
- A generalization of the Auslander-Buchsbaum formula
- Relative homological algebra
- Relative tor functors with respect to a semidualizing module
- Linkage of modules and the Serre conditions
- Correction to ``Tensor products of modules and the rigidity of Tor [Math. Ann. 299, No. 3, 449--476 (1994; Zbl 0803.13008)]
- Eine Dualität zwischen den Funktoren Ext und Tor
- On the vanishing of \(\lim_{(i)}\)
- Maximal Cohen-Macaulay tensor products
- ON A DEPTH FORMULA FOR MODULES OVER LOCAL RINGS
- Relative and Tate homology with respect to semidualizing modules
- Depth Formula via Complete Intersection Flat Dimension
- ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
- Gorenstein Modules and Related Modules.
- Absolute, Gorenstein, and Tate Torsion Modules
- The homological theory of maximal Cohen-Macaulay approximations
- Quasi-perfect modules over COHEN-MACAULAY Rings
- Remarks on a depth formula, a grade inequality and a conjecture of Auslander
- Gorenstein derived functors
- On homological dimensions
- G-Dimension.
- Homological aspects of semidualizing modules
- Stable module theory