Derived Functors and Hilbert Polynomials
| dc.creator | Theodorescu, Emanoil | |
| dc.date | 2004-10-13 | |
| dc.date.accessioned | 2026-07-07T05:13:13Z | |
| dc.date.available | 2026-07-07T05:13:13Z | |
| dc.description | Let $R$ be a commutative Noetherian ring, $I$ an ideal, $M$ and $N$ finitely generated $R$-modules. Assume $V(I)\cap Supp(M)\cap Supp(N)$ consists of finitely many maximal ideals and let $ł(\e^i(N/I^nN,M))$ denote the length of $\e^i(N/I^nN,M)$. It is shown that $ł(\e^i(N/I^nN,M))$ agrees with a polynomial in $n$ for $n>>0$, and an upper bound for its degree is given. On the other hand, a simple example shows that some special assumption such as the support condition above is necessary in order to conclude that polynomial growth holds. | |
| dc.identifier | https://arxiv.org/abs/math/0410303 | |
| dc.identifier | http://arxiv.org/abs/math/0410303 | |
| dc.identifier | Math. Proc. of the Cambridge Philos. Society (132) 2002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72868 | |
| dc.subject | Commutative Algebra | |
| dc.title | Derived Functors and Hilbert Polynomials | |
| dc.type | text |