David Baron

collaborators

2 papers

math.AC2025

Dimension-Preserving Saturated Embeddings of Finite Posets into the Spectra of Noetherian UFDs

David Baron, S. Loepp

Given a finite poset $X$ , we find necessary and sufficient conditions for there to exist a local Noetherian UFD $A$ and a saturated embedding of posets $ϕ: X \longrightarrow \mbox{…

math.AC2023

Controlling Formal Fibers of Countably Many Principal Prime Ideals

David Baron, Ammar Eltigani, S. Loepp +2

Let $T$ be a complete local (Noetherian) ring. For each $i \in N$ , let $C_{i}$ be a nonempty countable set of nonmaximal pairwise incomparable prime ideals of $T$ , and suppo…