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arXiv · 2206.02867

Every Finite Poset is Isomorphic to a Saturated Subset of the Spectrum of a Noetherian UFD

Cory H. Colbert·S. Loepp
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Abstract

We show that every finite poset is isomorphic to a saturated subset of the spectrum of a Noetherian unique factorization domain. In addition, we show that every finite poset is isomorphic to a saturated subset of the spectrum of a quasi-excellent domain.

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Cory H. Colbert, S. Loepp. 2023-09-14. Every Finite Poset is Isomorphic to a Saturated Subset of the Spectrum of a Noetherian UFD. https://arxiv.org/abs/2206.02867

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