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 …
Finite homological dimension of Hom and vanishing of Ext
S Dey, D Ghosh - arXiv preprint arXiv:2310.10607, 2023 - arxiv.org
For finitely generated modules $ M $ and $ N $ over a commutative Noetherian local ring $
R $, we give various sufficient criteria for detecting freeness of $ M $ or $ N $ via vanishing …
R $, we give various sufficient criteria for detecting freeness of $ M $ or $ N $ via vanishing …
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 …
On certain DG-algebra resolutions
TJ Puthenpurakal - arXiv preprint arXiv:2309.15440, 2023 - arxiv.org
In this paper we give several classes of Non-Gorenstein local rings $ A $ which satisfy the
property that $\text {Ext}^ i_A (M, A)= 0$ for $ i\gg 0$ then $\text {projdim} _A M $ is finite. We …
property that $\text {Ext}^ i_A (M, A)= 0$ for $ i\gg 0$ then $\text {projdim} _A M $ is finite. We …