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math.AC2019
Maximal Chains of Prime Ideals of Different Lengths in Unique Factorization Domains
S. Loepp, Alex Semendinger
We show that, given integers with , there exists a local (Noetherian) unique factorization domain that has maximal chains of pr…
math.AC2017
Characterization of Completions of Noncatenary Local Domains and Noncatenary Local UFDs
Chloe I. Avery, Caitlyn Booms, Timothy M. Kostolansky +2
We find necessary and sufficient conditions for a complete local ring to be the completion of a noncatenary local (Noetherian) domain, as well as necessary and sufficient condition…