How to compute the multigraded Hilbert depth of a module
Commutative Algebra
2013-10-22 v3 Combinatorics
Abstract
The aim of this paper is to introduce a method for computing Hilbert decompositions (and consequently the Hilbert depth) of a finitely generated multigraded module over the polynomial ring by reducing the problem to the computation of the finite set of the new defined Hilbert partitions. Moreover, in the last section, we show that Hilbert partitions may also be used for computing the Stanley depth of the module .
Keywords
Cite
@article{arxiv.1209.0084,
title = {How to compute the multigraded Hilbert depth of a module},
author = {Bogdan Ichim and Julio José Moyano-Fernández},
journal= {arXiv preprint arXiv:1209.0084},
year = {2013}
}
Comments
16 pages. Several typos corrected; further examples and applications added. To appear in "Mathematische Nachrichten"