Depth of some square free monomial ideals

Let I ⊋ J be two square free monomial ideals of a polynomial algebra over a field generated in degree ≥ 1, resp. ≥ 2. Almost always when I contains precisely one variable, the other generators having degrees ≥ 2, if the Stanley depth of I/J is ≤ 2 then the usual depth of I/J is ≤ 2 too, that is the...

Full description

Saved in:
Bibliographic Details
Published in:Bulletin mathématiques de la Société des sciences mathématiques de Roumanie 2013-01, Vol.56 (104) (1), p.117-124
Main Authors: Popescu, Dorin, Zarojanu, Andrei
Format: Article
Language:English
Subjects:
Algebra
Mathematical inequalities
Mathematical theorems
Partially ordered sets
Polynomials
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Let I ⊋ J be two square free monomial ideals of a polynomial algebra over a field generated in degree ≥ 1, resp. ≥ 2. Almost always when I contains precisely one variable, the other generators having degrees ≥ 2, if the Stanley depth of I/J is ≤ 2 then the usual depth of I/J is ≤ 2 too, that is the Stanley Conjecture holds in these cases.
ISSN:1220-3874
2065-0264