An extension of a depth inequality of Auslander
From MaRDI portal
Publication:2083240
DOI10.11650/tjm/220501zbMath1502.13038arXiv2108.07991OpenAlexW3195511870MaRDI QIDQ2083240
Olgur Celikbas, Uyen Le, Hiroki Matsui
Publication date: 10 October 2022
Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.07991
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)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Chern characters for twisted matrix factorizations and the vanishing of the higher Herbrand difference
- Hochster's theta pairing and algebraic equivalence
- Vanishing of Tor, and why we care about it
- Hochster's theta invariant and the Hodge-Riemann bilinear relations
- Asymptotic behavior of Ext functors for modules of finite complete intersection dimension
- Dimension projective finie et cohomologie locale. Applications à la demonstration de conjectures de M. Auslander, H. Bass et A. Grothendieck
- Modules over unramified regular local rings
- Some observations on local and projective hypersurfaces
- Modules of finite virtual projective dimension
- On graded rings. I
- Complexity and Tor on a complete intersection
- Tensor products of modules and the rigidity of Tor
- Thom-Sebastiani problems for maximal Cohen-Macaulay modules
- Complete intersection dimension
- The direct factor conjecture
- Homological dimensions of rigid modules
- The vanishing of a higher codimension analogue of Hochster's theta invariant
- Are complete intersections complete intersections?
- Classifying thick subcategories of the stable category of Cohen-Macaulay modules
- Burch ideals and Burch rings
- On the vanishing of Tor in regular local rings
- Homological dimensions and Macaulay rings
- Conference on commutative algebra. Lawrence, Kansas 1972
- Modules over regular local rings
- Decent intersection and Tor-rigidity for modules over local hypersurfaces
- Picard groups of punctured spectra of dimension three local hypersurfaces are torsion-free
- A counterexample to the rigidity conjecture for rings
- Homological Algebra on a Complete Intersection, with an Application to Group Representations
- Tensor products of modules, rigidity and local cohomology.
- Some Homological Properties of Modules over a Complete Intersection, with Applications
- On an example concerning the second rigidity theorem
- Classification of Resolving Subcategories and Grade Consistent Functions
- Hochster's theta pairing and numerical equivalence
- Condition $(a_q)$ de Samuel et $q$-torsion
- Stable module theory
- On superheight conditions for the affineness of open subsets.
