Remarks on a conjecture of Huneke and Wiegand and the vanishing of (co)homology
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Publication:6610117
DOI10.2969/jmsj/90749074MaRDI QIDQ6610117
Olgur Celikbas, Hiroki Matsui, Uyen Le, Arash Sadeghi
Publication date: 24 September 2024
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
complexitytorsiontensor productsTate (co)homology\(\mathrm{Tor}\)-rigidityvanishing of \(\mathrm{Ext}\) and \(\mathrm{Tor}\)
Homological dimension and commutative rings (13D05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Torsion modules and ideals in commutative rings (13C12)
Cites Work
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- Necessary conditions for the depth formula over Cohen-Macaulay local rings
- Vanishing of Tor over complete intersections
- Vanishing of Tate homology and depth formulas over local rings
- Asymptotic behavior of Ext functors for modules of finite complete intersection dimension
- Modules over unramified regular local rings
- Gorenstein dimension of modules over homomorphisms
- Some observations on local and projective hypersurfaces
- Modules of finite virtual projective dimension
- Tensor products of modules and the rigidity of Tor
- Complete intersection dimension
- Support varieties and cohomology over complete intersections
- A generalized Dade's lemma for local rings
- Complete intersection dimensions for complexes
- A generalization of the Auslander-Buchsbaum formula
- Rigid ideals in Gorenstein rings of dimension one
- On the vanishing of the theta invariant and a conjecture of Huneke and Wiegand
- On growth in minimal totally acyclic complexes
- On the vanishing of Tor in regular local rings
- Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
- Maximal Cohen-Macaulay tensor products
- Decent intersection and Tor-rigidity for modules over local hypersurfaces
- ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
- The homological theory of maximal Cohen-Macaulay approximations
- Boundedness Versus Periodicity Over Commutative Local Rings
- Triangulated categories of singularities and equivalences between Landau-Ginzburg models
- On a Generalized Version of the Nakayama Conjecture
- Symmetry in the vanishing of Ext over Gorenstein rings
- Some Homological Properties of Modules over a Complete Intersection, with Applications
- Matrix factorizations in higher codimension
- On the Auslander–Reiten conjecture for Cohen–Macaulay local rings
- Stable module theory
- Maximal Orders
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