Three generated, squarefree, monomial ideals

Let \(I\supsetneq J\) be two squarefree monomial ideals of a polynomial algebra over a field generated in degree \(\geq d\), resp. \(\geq d+1\) . Suppose that \(I\) is generated by three monomials of degrees \(d\). If the Stanley depth of \(I/J\) is \(\leq d+1\) then the usual depth of \(I/J\) is \(...

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Bibliographic Details
Published in:arXiv.org 2014-08
Main Authors: Popescu, Dorin, Zarojanu, Andrei
Format: Article
Language:English
Subjects:
Polynomials
Online Access:Get full text
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Summary:Let \(I\supsetneq J\) be two squarefree monomial ideals of a polynomial algebra over a field generated in degree \(\geq d\), resp. \(\geq d+1\) . Suppose that \(I\) is generated by three monomials of degrees \(d\). If the Stanley depth of \(I/J\) is \(\leq d+1\) then the usual depth of \(I/J\) is \(\leq d+1\) too.
ISSN:2331-8422