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math.AC2020
Completions of Uncountable Local Rings with Countable Spectra
S. Loepp, Teresa Yu
We find necessary and sufficient conditions for a complete local (Noetherian) ring to be the completion of an uncountable local (Noetherian) domain with a countable spectrum. Our r…
math.AC2020★ 2 cited
Completions of Countable Excellent Domains and Countable Noncatenary Domains
S. Loepp, Teresa Yu
We find necessary and sufficient conditions for a complete local ring containing the rationals to be the completion of a countable excellent local (Noetherian) domain. Furthermore,…