An algorithm for computing the multigraded Hilbert depth of a module

A method for computing the multigraded Hilbert depth of a module was presented in [16]. In this paper we improve the method and we introduce an effective algorithm for performing the computations. In a particular case, the algorithm may also be easily adapted for computing the Stanley depth of the m...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2014-07
Main Authors: Ichim, Bogdan, Zarojanu, Andrei
Format: Article
Language:English
Subjects:
Algorithms
Computation
Modules
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A method for computing the multigraded Hilbert depth of a module was presented in [16]. In this paper we improve the method and we introduce an effective algorithm for performing the computations. In a particular case, the algorithm may also be easily adapted for computing the Stanley depth of the module. We further present interesting examples which were found with the help of an experimental implementation of the algorithm. Thus, we completely solve several open problems proposed by Herzog in [12].
ISSN:2331-8422