On the ideal of some sumset semigroups
Number Theory
2021-10-06 v3 Commutative Algebra
Abstract
A sumset semigroup is a non-cancellative commutative monoid obtained from the sumset of finite non-negative integer sets. In this work, an algorithm for computing the ideals associated with some sumset semigroups is provided. Using these ideals, we study some factorization properties of sumset semigroups and some additive properties of sumsets. This approach links computational commutative algebra with additive number theory.
Cite
@article{arxiv.2102.04100,
title = {On the ideal of some sumset semigroups},
author = {J. I. García-García and D. Marín-Aragón and A. Vigneron-Tenorio},
journal= {arXiv preprint arXiv:2102.04100},
year = {2021}
}