Almost reverse lexicographic ideals and Fr\"{o}berg sequence
Commutative Algebra
2009-10-23 v2
Abstract
We study almost reverse lexicographic ideals in a polynomial ring over a field of arbitrary characteristic. We give a criterion for a given sequence of nonnegative integers to be the Hilbert function of an almost reverse lexicographic ideal in the polynomial ring. Then it will be shown that every Fr\"{o}berg sequence satisfies this criterion.
Keywords
Cite
@article{arxiv.0910.3830,
title = {Almost reverse lexicographic ideals and Fr\"{o}berg sequence},
author = {Jung Pil Park},
journal= {arXiv preprint arXiv:0910.3830},
year = {2009}
}
Comments
21 pages; Because there is a crutial misunderstanding in the previous version, we modified the article. Thanks Giulio Caviglia for your kindness advise