# Minimal presentations of shifted numerical monoids

@article{Conaway2018MinimalPO,
title={Minimal presentations of shifted numerical monoids},
author={Rebecca Conaway and Felix Gotti and Jesse Horton and Christopher O'Neill and Roberto Pelayo and Mesa Pracht and Brian Wissman},
journal={Int. J. Algebra Comput.},
year={2018},
volume={28},
pages={53-68}
}
• Published 30 January 2017
• Mathematics
• Int. J. Algebra Comput.
A numerical monoid is an additive submonoid of the non-negative integers. Given a numerical monoid S, consider the family of “shifted” monoids Mn obtained by adding n to each generator of S. In this paper, we examine minimal relations among the generators of Mn when n is sufficiently large, culminating in a description that is periodic in the shift parameter n. We explore several applications to computation and factorization theory, and improve a recent result of Thanh Vu from combinatorial…
11 Citations

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