Showing math.ACShow all
2 papers · 1 filter
math.AC2024
Noncatenary splinters in prime characteristic
S. Loepp, Austyn Simpson
We construct a local Noetherian splinter (in fact, a weakly -regular domain) in prime characteristic which is not catenary, which we view as an analogue of a theorem of Ogoma in…
math.AC2024
The perfection can be a non-coherent GCD domain
Austyn Simpson
We show that there exists a complete local Noetherian normal domain of prime characteristic whose perfection is a non-coherent GCD domain, answering a question of Patankar in the n…