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Mathematics > Commutative Algebra

arXiv:2210.01224 (math)
[Submitted on 3 Oct 2022 (v1), last revised 12 Jan 2023 (this version, v3)]

Title:On the factorization invariants of arithmetical congruence monoids

Authors: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.
Subjects: Commutative Algebra (math.AC)
Cite as: arXiv:2210.01224 [math.AC]
  (or arXiv:2210.01224v3 [math.AC] for this version)
  https://doi.org/10.48550/arXiv.2210.01224

Submission history

From: Andrew Zhang [view email]
[v1] Mon, 3 Oct 2022 20:46:08 UTC (16 KB)
[v2] Sat, 8 Oct 2022 20:26:58 UTC (1 KB) (withdrawn)
[v3] Thu, 12 Jan 2023 05:34:32 UTC (16 KB)
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