Almost reverse lexicographic ideals and Fröberg sequence
arXiv:0910.3830
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 Fröberg sequence satisfies this criterion.
21 pages; Because there is a crutial misunderstanding in the previous version, we modified the article. Thanks Giulio Caviglia for your kindness advise