On the Stanley Depth of Powers of Monomial Ideals

On the Stanley Depth of Powers of Monomial Ideals

In 1982, Stanley predicted a combinatorial upper bound for the depth of any finitely generated multigraded module over a polynomial ring. The predicted invariant is now called the Stanley depth. Duval et al. found a counterexample for Stanley’s conjecture, and their counterexample is a quo...

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Bibliographic Details
Main Author: S. A. Seyed Fakhari
Format: Article
Language:English
Published: MDPI AG 2019-07-01
Series:Mathematics
Subjects:
complete intersection
cover ideal
depth
edge ideal
integral closure
polymatroidal ideal
Stanley depth
Stanley’s inequality
symbolic power
Online Access:https://www.mdpi.com/2227-7390/7/7/607

Internet

https://www.mdpi.com/2227-7390/7/7/607

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