When is there a unique socle-vector associated to a given $h$-vector?
| dc.creator | Zanello, Fabrizio | |
| dc.date | 2004-11-10 | |
| dc.date | 2005-03-29 | |
| dc.date.accessioned | 2026-07-07T06:29:08Z | |
| dc.date.available | 2026-07-07T06:29:08Z | |
| dc.description | First, we construct a bijection between the set of $h$-vectors and the set of socle-vectors of artinian algebras. As a corollary, we find the minimum codimension that an artinian algebra with a given socle-vector can have. Then, we study the main problem in the paper: determining when there is a unique socle-vector for a given $h$-vector. We solve the problem completely if the codimension is at most 3. | |
| dc.description | 21 pages; to appear in Comm. in Algebra | |
| dc.identifier | https://arxiv.org/abs/math/0411229 | |
| dc.identifier | http://arxiv.org/abs/math/0411229 | |
| dc.identifier | Comm. in Algebra 34 (2006), No. 5, 1847-1860. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/97926 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13E10 | |
| dc.title | When is there a unique socle-vector associated to a given $h$-vector? | |
| dc.type | text |