Maximal Cohen–Macaulay tensor products and vanishing of Ext modules
In this paper, we investigate the maximal Cohen–Macaulay property of tensor products of
modules, and then give criteria for projectivity of modules in terms of vanishing of Ext …
modules, and then give criteria for projectivity of modules in terms of vanishing of Ext …
Hom and Ext, revisited
H Dao, M Eghbali, J Lyle - Journal of Algebra, 2021 - Elsevier
Let R be a commutative Noetherian local ring and M, N be finitely generated R-modules. We
prove a number of results of the form: if Hom R (M, N) has some nice properties and Ext R …
prove a number of results of the form: if Hom R (M, N) has some nice properties and Ext R …
Auslander--Reiten conjecture for normal rings
K Kimura - arXiv preprint arXiv:2304.03956, 2023 - arxiv.org
In this paper, sufficient conditions for finitely generated modules over a commutative
noetherian ring to be projective are given in terms of vanishing of Ext modules. One of the …
noetherian ring to be projective are given in terms of vanishing of Ext modules. One of the …
Vanishing of (co) homology, freeness criteria, and the Auslander-Reiten conjecture for Cohen-Macaulay Burch rings
R Holanda, CB Miranda-Neto - arXiv preprint arXiv:2212.05521, 2022 - arxiv.org
We establish new results on (co) homology vanishing and Ext-Tor dualities, and derive a
number of freeness criteria for finite modules over Cohen-Macaulay local rings. In the main …
number of freeness criteria for finite modules over Cohen-Macaulay local rings. In the main …
Two theorems on the vanishing of Ext
O Celikbas, T Kobayashi, H Matsui… - arXiv preprint arXiv …, 2023 - arxiv.org
We prove two theorems on the vanishing of Ext over commutative Noetherian local rings.
Our first theorem shows that, over non-regular Cohen-Macaulay local domains, there are no …
Our first theorem shows that, over non-regular Cohen-Macaulay local domains, there are no …
Two generalizations of Auslander–Reiten duality and applications
A Sadeghi, R Takahashi - 2019 - projecteuclid.org
Two generalizations of Auslander-Reiten duality and applications Page 1 Two generalizations of
Auslander–Reiten duality and applications Arash Sadeghi and Ryo Takahashi …
Auslander–Reiten duality and applications Arash Sadeghi and Ryo Takahashi …
Some results on vanishing of Ext and finite Gorenstein dimension of the dual of a module
VD Mendoza-Rubio, VH Jorge-Pérez - arXiv preprint arXiv:2312.06124, 2023 - arxiv.org
arXiv:2312.06124v1 [math.AC] 11 Dec 2023 Page 1 arXiv:2312.06124v1 [math.AC] 11 Dec
2023 SOME RESULTS ON VANISHING OF EXT AND FINITE GORENSTEIN DIMENSION OF …
2023 SOME RESULTS ON VANISHING OF EXT AND FINITE GORENSTEIN DIMENSION OF …
Auslander-Reiten and Huneke-Wiegand conjectures over quasi-fiber product rings
TH Freitas, VH PÉrez, R Wiegand… - arXiv preprint arXiv …, 2022 - arxiv.org
In this paper we explore consequences of the vanishing of ${\rm Ext} $ for finitely generated
modules over a quasi-fiber product ring $ R $; that is, $ R $ is a local ring such that …
modules over a quasi-fiber product ring $ R $; that is, $ R $ is a local ring such that …
On the vanishing of the theta invariant and a conjecture of Huneke and Wiegand
O Celikbas - Pacific Journal of Mathematics, 2020 - msp.org
Huneke and Wiegand conjectured that, if M is a finitely generated, nonfree, torsion-free
module with rank over a one-dimensional Cohen–Macaulay local ring R, then the tensor …
module with rank over a one-dimensional Cohen–Macaulay local ring R, then the tensor …
[PDF][PDF] VANISHING OF EXT MODULES OVER COHEN–MACAULAY RINGS
VANISHING OF EXT MODULES OVER COHEN–MACAULAY RINGS 1. Introduction We refer
the reader to [10] (arXiv:2106.08583) for details Page 1 VANISHING OF EXT MODULES OVER …
the reader to [10] (arXiv:2106.08583) for details Page 1 VANISHING OF EXT MODULES OVER …