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arXiv · 2210.01224

On the factorization invariants of arithmetical congruence monoids

Scott T. Chapman·Caroline Liu·Annabel Ma·Andrew Zhang
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Abstract

In this paper, we study various factorization invariants of arithmetical congruence monoids. The invariants we investigate are the catenary degree, a measure of the maximum distance between any two factorizations of the same element, the length density, which describes the distribution of the factorization lengths of an element, and the omega primality, which measures how far an element is from being prime.

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Scott T. Chapman, Caroline Liu, Annabel Ma, Andrew Zhang. 2022-10-03. On the factorization invariants of arithmetical congruence monoids. https://arxiv.org/abs/2210.01224

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