On the finite generation of a family of Ext modules
| dc.creator | Puthenpurakal, Tony J. | |
| dc.date | 2008-09-11 | |
| dc.date.accessioned | 2026-07-07T10:02:18Z | |
| dc.date.available | 2026-07-07T10:02:18Z | |
| dc.description | Let $Q$ be a Noetherian ring with finite Krull dimension and let $\mathbf{f}= f_1,... f_c$ be a regular sequence in $Q$. Set $A = Q/(\mathbf{f})$. Let $I$ be an ideal in $A$, and let $M$ be a finitely generated $A$-module with $\projdim_Q M$ finite. Set $\R = \bigoplus_{n\geq 0}I^n$, the Rees-Algebra of $I$. Let $N = \bigoplus_{j \geq 0}N_j$ be a finitely generated graded $\R$-module. We show that \[\bigoplus_{j\geq 0}\bigoplus_{i\geq 0} \Ext^{i}_{A}(M,N_j) \] is a finitely generated bi-graded module over $\Sc = \R[t_1,...,t_c]$. We give two applications of this result to local complete intersection rings. | |
| dc.identifier | https://arxiv.org/abs/0809.2068 | |
| dc.identifier | http://arxiv.org/abs/0809.2068 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168925 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13H10, 13D07 (Primary) 13A02, 13A15 (Secondary) | |
| dc.title | On the finite generation of a family of Ext modules | |
| dc.type | text |