A characterization of finite factorization positive monoids
Commutative Algebra
2021-12-03 v2
Abstract
We provide a characterization of the positive monoids (i.e., additive submonoids of the nonnegative real numbers) that satisfy the finite factorization property. As a result, we establish that positive monoids with well-ordered generating sets satisfy the finite factorization property, while positive monoids with co-well-ordered generating sets satisfy this property if and only if they satisfy the bounded factorization property.
Cite
@article{arxiv.2108.03195,
title = {A characterization of finite factorization positive monoids},
author = {Harold Polo},
journal= {arXiv preprint arXiv:2108.03195},
year = {2021}
}
Comments
11 pages, no figures. This version will appear in Communications of the Korean Mathematical Society