S. Loepp

activity

20232025

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Showing 2024 · math.ACShow all

3 papers · 2 filters

math.AC2024

Constructing Noncatenary Quasi-Excellent Precompletions

Jackson Ehrenworth, S. Loepp

Let $T$ be a local (Noetherian) ring and let $Q_{1}$ and $Q_{2}$ be prime ideals of $T$ . We find sufficient conditions for there to exist a quasi-excellent local subring $B$ of $T$ sat…

math.AC2024

Noncatenary Unique Factorization Domains

Alexandra Bonat, S. Loepp

We demonstrate a class of local (Noetherian) unique factorization domains (UFDs) that are noncatenary at infinitely many places. In particular, if $A$ is in our class of UFDs, then…

math.AC2024

Noncatenary splinters in prime characteristic

S. Loepp, Austyn Simpson

We construct a local Noetherian splinter (in fact, a weakly $F$ -regular domain) in prime characteristic which is not catenary, which we view as an analogue of a theorem of Ogoma in…