Almost reverse lexicographic ideals and Fröberg sequence

Details Almost reverse lexicographic ideals and Fröberg sequence Almost reverse lexicographic ideals and Fröberg sequence

2009-10-20

arxiv.org/abs/0910.3830v2

Mathematics

Commutative Algebra

21 pages; Because there is a crutial misunderstanding in the previous version, we modified the article. Thanks Giulio Caviglia

Scientific paper

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.

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