On conductor submonoids of factorial monoids

Alfred Geroldinger; Weihao Yan; Qinghai Zhong

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arXiv · 2502.12712

On conductor submonoids of factorial monoids

Alfred Geroldinger·Weihao Yan·Qinghai Zhong

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Abstract

We study algebraic and arithmetic properties of submonoids (resp. subrings) of factorial monoids (resp. factorial domains) whose non-invertible elements all lie in the conductor. This continues earlier work of Baeth, Cisto, et al.. On our way we answer several conjectures, formulated in their papers in the affirmative ([1,Conjecture 4.16] and [6, Conjectures 2.3 and 2.10, and Section 9]).

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Alfred Geroldinger, Weihao Yan, Qinghai Zhong. 2025-02-18. On conductor submonoids of factorial monoids. https://arxiv.org/abs/2502.12712

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