On Auslander's depth formula
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Publication:6140036
DOI10.1016/j.jalgebra.2023.12.009arXiv2302.00035MaRDI QIDQ6140036
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Publication date: 19 January 2024
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.00035
Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Cohen-Macaulay modules (13C14) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)
Cites Work
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- The depth formula for modules with reducible complexity
- Vanishing of Tate homology and depth formulas over local rings
- Vanishing of relative homology and depth of tensor products
- Modules over unramified regular local rings
- Depth for complexes, and intersection theorems
- Tensor products of modules and the rigidity of Tor
- Complete intersection dimension
- Construction of modules with finite homological dimensions
- Quasi-projective dimension
- Gorenstein dimension and torsion of modules over commutative noetherian rings
- ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
- Remarks on a depth formula, a grade inequality and a conjecture of Auslander
- On homological dimensions
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