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math.AC2025
Completions of Extremely Noncatenary Noetherian UFDs
Eli B. Dugan, S. Loepp
Let be a complete local ring. We present necessary and sufficient conditions for to be the completion of a local (Noetherian) unique factorization domain such that ther…
math.AC2025
Dimension-Preserving Saturated Embeddings of Finite Posets into the Spectra of Noetherian UFDs
David Baron, S. Loepp
Given a finite poset , we find necessary and sufficient conditions for there to exist a local Noetherian UFD and a saturated embedding of posets $ϕ: X \longrightarrow \mbox{…