Skeletons of monomial ideals
| dc.creator | Herzog, Juergen | |
| dc.creator | Jahan, Ali Soleyman | |
| dc.creator | Zheng, Xinxian | |
| dc.date | 2008-02-20 | |
| dc.date.accessioned | 2026-07-07T09:21:57Z | |
| dc.date.available | 2026-07-07T09:21:57Z | |
| dc.description | In analogy to the skeletons of a simplicial complex and their Stanley--Reisner ideals we introduce the skeletons of an arbitrary monomial ideal $I\subset S=K[x_1,...,x_n]$. This allows us to compute the depth of $S/I$ in terms of its skeleton ideals. We apply these techniques to show that Stanley's conjecture on Stanley decompositions of $S/I$ holds provided it holds whenever $S/I$ is Cohen--Macaulay. We also discuss a conjecture of Soleyman-Jahan and show that it suffices to prove his conjecture for monomial ideals with linear resolution. | |
| dc.identifier | https://arxiv.org/abs/0802.2769 | |
| dc.identifier | http://arxiv.org/abs/0802.2769 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155207 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13C13; 13C14; 05E99; 16W70 | |
| dc.title | Skeletons of monomial ideals | |
| dc.type | text |