Auslander-Reiten conjecture and finite injective dimension of \(\operatorname{Hom}\)
From MaRDI portal
Publication:6185385
DOI10.1215/21562261-2023-0016arXiv2109.00692MaRDI QIDQ6185385
No author found.
Publication date: 8 January 2024
Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.00692
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)
Cites Work
- Unnamed Item
- Unnamed Item
- Dimension projective finie et cohomologie locale. Applications à la demonstration de conjectures de M. Auslander, H. Bass et A. Grothendieck
- Gorenstein rings and modules with high numbers of generators
- Characterizations of regular local rings via syzygy modules of the residue field
- On a conjecture of Auslander and Reiten
- Hom and Ext, revisited
- Two generalizations of Auslander-Reiten duality and applications
- Liftings and weak liftings of modules
- On the growth of the Betti sequence of the canonical module
- Some criteria for the Gorenstein property
- The Auslander-Reiten conjecture for Gorenstein rings
- On a Generalized Version of the Nakayama Conjecture
- Isomorphims between complexes with applications to the homological theory of modules.
- Remarks on a depth formula, a grade inequality and a conjecture of Auslander
- Rings with finite Gorenstein injective dimension
- Extremal growth of Betti numbers and trivial vanishing of (co)homology
- On the Auslander–Reiten conjecture for Cohen–Macaulay local rings
- Vanishing of Ext and Tor over fiber products
- Maximal Cohen–Macaulay tensor products and vanishing of Ext modules
- Gorenstein rings via homological dimensions, and symmetry in vanishing of Ext and Tate cohomology