On the depth and reflexivity of tensor products
From MaRDI portal
Publication:2144407
DOI10.1016/j.jalgebra.2022.05.016zbMath1493.13023arXiv2102.01575OpenAlexW4297790103MaRDI QIDQ2144407
Uyen Le, Olgur Celikbas, Hiroki Matsui
Publication date: 13 June 2022
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.01575
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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Vanishing of Tate homology and depth formulas over local rings
- 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
- The syzygy problem
- Depth for complexes, and intersection theorems
- Tensor products of modules and the rigidity of Tor
- Complete intersection dimension
- Gorenstein dimensions
- The direct factor conjecture
- Homological dimensions of rigid modules
- Complete intersection dimensions for complexes
- An extension of a depth inequality of Auslander
- Correction to ``Tensor products of modules and the rigidity of Tor [Math. Ann. 299, No. 3, 449--476 (1994; Zbl 0803.13008)]
- On the vanishing of Tor in regular local rings
- Syzygies and tensor product of modules
- Depth Formula via Complete Intersection Flat Dimension
- Tensor products of modules, rigidity and local cohomology.
- Regular sequences and vanishing of the homological functors
- Vanishing of tor and torsion in tensor products
- On an example concerning the second rigidity theorem
- On the second rigidity theorem of Huneke and Wiegand
This page was built for publication: On the depth and reflexivity of tensor products