A characterization of finite factorization positive monoids
Commun. Korean Math. Soc. Published online May 12, 2022
Harold Polo
University of Florida
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.