Completions of Countable Excellent Domains and Countable Noncatenary Domains

S. Loepp; Teresa Yu

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arXiv · 2005.06911

Completions of Countable Excellent Domains and Countable Noncatenary Domains

S. Loepp·Teresa Yu

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Abstract

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, we find necessary and sufficient conditions for a complete local ring to be the completion of a countable noncatenary local domain, as well as necessary and sufficient conditions for it to be the completion of a countable noncatenary local unique factorization domain.

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S. Loepp, Teresa Yu. 2020-05-14. Completions of Countable Excellent Domains and Countable Noncatenary Domains. https://arxiv.org/abs/2005.06911

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