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Original Articles

LCM Lattices and Stanley Depth: A First Computational Approach

, &
Pages 46-53 | Published online: 09 Oct 2015
 

Abstract

Let be a field, and let be the polynomial ring. Let I be a monomial ideal of S with up to five generators. In this article, we present a computational experiment that allows us to prove that . This shows that the Stanley conjecture is true for S/I and I if I can be generated by at most five monomials. The result also provides additional computational evidence for a conjecture of Herzog.

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