Extending the idea of compressed algebra to arbitrary socle-vectors, II: cases of non-existence
| dc.creator | Zanello, Fabrizio | |
| dc.date | 2004-11-24 | |
| dc.date.accessioned | 2026-07-07T05:14:41Z | |
| dc.date.available | 2026-07-07T05:14:41Z | |
| dc.description | This paper is the continuation of the previous work on generalized compressed algebras (GCA's). First we exhibit a new class of socle-vectors $s$ which admit a GCA (whose $h$-vector is lower than the upper-bound $H$ of Theorem A of the previous paper). In particular, it follows that for every socle-vector $s$ of type 2 there exists a GCA (in any codimension $r$). The main result of this paper is the following: there exist pairs $(r,s)$ which do not admit a GCA. Moreover, the way this pathology occurs may be "arbitrarily bad" (even in codimension 3). Finally, we start considering the difficult problem of characterizing the pairs $(r,s)$ which admit a GCA, focusing on a particular class of socle-vectors of codimension 3. | |
| dc.description | 34 pages (19 in the journal). With permission from Elsevier | |
| dc.identifier | https://arxiv.org/abs/math/0411563 | |
| dc.identifier | http://arxiv.org/abs/math/0411563 | |
| dc.identifier | J. of Algebra 275 (2004), No. 2, 730-748 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73370 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13E10 | |
| dc.title | Extending the idea of compressed algebra to arbitrary socle-vectors, II: cases of non-existence | |
| dc.type | text |