论文标题

每个有限的poset均与noetherian UFD光谱的饱和子集同构

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

论文作者

Colbert, Cory H., Loepp, S.

论文摘要

我们表明,每个有限的POSET都是与Noetherian独特分解域的饱和子集的同构。此外,我们表明,每个有限poset都是准excellent结构域光谱的饱和子集的同构。

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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