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arXiv · 2108.03195

A characterization of finite factorization positive monoids

Harold Polo
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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.

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Harold Polo. 2021-08-06. A characterization of finite factorization positive monoids. https://arxiv.org/abs/2108.03195

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