Level algebras of type 2

dc.creatorZanello, Fabrizio
dc.date2004-11-10
dc.date2005-03-29
dc.date.accessioned2026-07-07T06:27:33Z
dc.date.available2026-07-07T06:27:33Z
dc.descriptionIn this paper we study standard graded artinian level algebras, in particular those whose socle-vector has type 2. Our main results are: the characterization of the level $h$-vectors of the form $(1,r,...,r,2)$ for $r\leq 4$; the characterization of the minimal free resolutions associated to each of the $h$-vectors above when $r=3$; a sharp upper-bound (under certain mild hypotheses) for the level $h$-vectors $(1,r,...,a,2)$ of arbitrary codimension $r$ and type 2, which depends on the next to last entry $a$.
dc.description33 pages; to appear in Comm. in Algebra
dc.identifierhttps://arxiv.org/abs/math/0411228
dc.identifierhttp://arxiv.org/abs/math/0411228
dc.identifierComm. in Algebra 34 (2006), No. 2, 691-714
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97445
dc.subjectCommutative Algebra
dc.subject13E10 (Primary); 13H10 (Secondary)
dc.titleLevel algebras of type 2
dc.typetext

Files

Collections