Abstract
We show that, given integers $n_1,n_2, \ldots ,n_k$ with $2 \lt n_1 \lt n_2 \lt \cdots \lt n_k$, there exists a local (Noetherian) unique factorization domain that has maximal chains of prime ideals of lengths $n_1, n_2, \ldots ,n_k$ which are disjoint except at their minimal and maximal elements. In addition, we demonstrate that unique factorization domains can have other unusual prime ideal structures.
Citation
Susan Loepp. Alex Semendinger. "Maximal chains of prime ideals of different lengths in unique factorization domains." Rocky Mountain J. Math. 49 (3) 849 - 865, 2019. https://doi.org/10.1216/RMJ-2019-49-3-849
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