The $h$-vector of a relatively compressed level algebra
| dc.creator | Zanello, Fabrizio | |
| dc.date | 2005-03-24 | |
| dc.date | 2005-10-31 | |
| dc.date.accessioned | 2026-07-07T08:06:44Z | |
| dc.date.available | 2026-07-07T08:06:44Z | |
| dc.description | The purpose of this note is to supply an upper and a lower bound (which are in general sharp) for the $h$-vector of a level algebra which is relatively compressed with respect to any arbitrary level algebra $A$. The useful concept of relatively compressed algebra was recently introduced in $[MMN]$ by Migliore {\it et al.} (whose investigations mainly focused on the particular case of $A$ a complete intersection). The key idea of this note is the simple observation that the level algebras which are relatively compressed with respect to $A$ coincide (after an obvious isomorphism) with the generic level quotients of suitable truncations of $A$. Therefore, we are able to apply to relatively compressed algebras the main result of our recent work $[Za3]$. | |
| dc.description | 7 pages. A few minor changes. To appear in Comm. in Algebra | |
| dc.identifier | https://arxiv.org/abs/math/0503526 | |
| dc.identifier | http://arxiv.org/abs/math/0503526 | |
| dc.identifier | Comm. in Algebra 35 (2007), No. 4, 1087-1091 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130711 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13E10 (primary); 13D40, 13H10 (secondary) | |
| dc.title | The $h$-vector of a relatively compressed level algebra | |
| dc.type | text |