Bivariate Hilbert Functions for the Torsion Functor
| dc.creator | Theodorescu, Emanoil | |
| dc.date | 2004-10-13 | |
| dc.date.accessioned | 2026-07-07T05:13:14Z | |
| dc.date.available | 2026-07-07T05:13:14Z | |
| dc.description | Let $(R,P)$ be a commutative, local Noetherian ring, $I$, $J$ ideals, $M$ and $N$ finitely generated $R$-modules. Suppose $J + ann_R M + ann_R N$ is $P$-primary. The main result of this paper is Theorem 6, which gives necessary and sufficient conditions for the length of $\t_i(M/I^nM,N/J^mN)$, to agree with a polynomial, for $m$, $n \gg 0$. As a corollary, it is shown that the length of $\t_i(M/I^nM,N/I^nN))$ always agrees with a polynomial in $n$, for $n \gg 0$, provided $I + ann_R M + ann_R N$ is $P$-primary. | |
| dc.identifier | https://arxiv.org/abs/math/0410304 | |
| dc.identifier | http://arxiv.org/abs/math/0410304 | |
| dc.identifier | Journal of Algebra (265), 2003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72869 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13D40 | |
| dc.title | Bivariate Hilbert Functions for the Torsion Functor | |
| dc.type | text |