A characterization of finite factorization positive monoids
arXiv:2108.03195
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.
11 pages, no figures. This version will appear in Communications of the Korean Mathematical Society