An algorithm to compute the Hilbert depth
Commutative Algebra
2014-03-04 v3
Abstract
We present an algorithm which computes the Hilbert depth of a graded module based on a theorem of Uliczka. Connected to a Herzog's question we see that the Hilbert depth of a direct sum of modules can be strictly bigger than the Hilbert depth of all the summands.
Keywords
Cite
@article{arxiv.1307.6084,
title = {An algorithm to compute the Hilbert depth},
author = {Adrian Popescu},
journal= {arXiv preprint arXiv:1307.6084},
year = {2014}
}
Comments
to appear in: Journal of Symbolic Computation