Embedded Associated Primes of Powers of Square-free Monomial Ideals
| dc.creator | Ha, Huy Tai | |
| dc.creator | Morey, Susan | |
| dc.date | 2008-05-24 | |
| dc.date | 2009-04-25 | |
| dc.date.accessioned | 2026-07-07T13:08:08Z | |
| dc.date.available | 2026-07-07T13:08:08Z | |
| dc.description | An ideal I in a Noetherian ring R is normally torsion-free if Ass(R/I^t)=Ass(R/I) for all natural numbers t. We develop a technique to inductively study normally torsion-free square-free monomial ideals. In particular, we show that if a square-free monomial ideal I is minimally not normally torsion-free then the least power t such that I^t has embedded primes is bigger than beta_1, where beta_1 is the monomial grade of I, which is equal to the matching number of the hypergraph H(I) associated to I. If in addition I fails to have the packing property, then embedded primes of I^t do occur when t=beta_1 +1. As an application, we investigate how these results relate to a conjecture of Conforti and Cornuéjols. | |
| dc.description | 15 pages, changes have been made to the title, introduction, and background material, and an example has been added. To appear in JPAA | |
| dc.identifier | https://arxiv.org/abs/0805.3738 | |
| dc.identifier | http://arxiv.org/abs/0805.3738 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/228321 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Combinatorics | |
| dc.subject | 13A17; 13F55; 13C65; 90C27 | |
| dc.title | Embedded Associated Primes of Powers of Square-free Monomial Ideals | |
| dc.type | text |