A realization theorem for sets of lengths in numerical monoids
Commutative Algebra
2018-01-18 v2 Number Theory
Abstract
We show that for every finite nonempty set L of integers greater than or equal to 2 there are a numerical monoid H and a squarefree element a H whose set of lengths L(a) is equal to L.
Keywords
Cite
@article{arxiv.1710.04388,
title = {A realization theorem for sets of lengths in numerical monoids},
author = {Alfred Geroldinger and Wolfgang Schmid},
journal= {arXiv preprint arXiv:1710.04388},
year = {2018}
}
Comments
Forum Math., to appear