Sally modules of ${\mathfrak m}$-primary ideals in local rings
| dc.creator | Corso, Alberto | |
| dc.date | 2003-09-01 | |
| dc.date.accessioned | 2026-07-07T05:00:45Z | |
| dc.date.available | 2026-07-07T05:00:45Z | |
| dc.description | Given a local Noetherian ring $(R, {\mathfrak m})$ of dimension $d>0$ and infinite residue field, we study the invariants $($dimension and multiplicity$)$ of the Sally module $S_J(I)$ of any ${\mathfrak m}$-primary ideal $I$ with respect to a minimal reduction $J$. As a by-product we obtain an estimate for the Hilbert coefficients of ${\mathfrak m}$ that generalizes a bound established by J. Elias and G. Valla in a local Cohen-Macaulay setting. We also find sharp estimates for the multiplicity of the special fiber ring ${\mathcal F}(I)$, which recover previous bounds established by C. Polini, W.V. Vasconcelos and the author in the local Cohen-Macaulay case. Great attention is also paid to Sally modules in local Buchsbaum rings. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0309027 | |
| dc.identifier | http://arxiv.org/abs/math/0309027 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68435 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13A30, 13B21, 13D40 | |
| dc.title | Sally modules of ${\mathfrak m}$-primary ideals in local rings | |
| dc.type | text |