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We characterize which complete local (Noetherian) rings T containing the rationals are the completion of a countable excellent local ring S. We also discuss the possibilities for the map from… Click to show full abstract
We characterize which complete local (Noetherian) rings T containing the rationals are the completion of a countable excellent local ring S. We also discuss the possibilities for the map from the minimal prime ideals of T to the minimal prime ideals of S and we prove some characterization-style results.
Keywords:
rings equal;
equal characteristic;
completions countable;
local rings;
countable excellent;
excellent local
Journal Title: Journal of Algebra and Its Applications
Year Published: 2022
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Journal Title: Journal of Algebra and Its Applications
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!