论文标题
可计数的优秀域和可数的非国民域的完成
Completions of Countable Excellent Domains and Countable Noncatenary Domains
论文作者
论文摘要
我们发现包含理性的完整本地环是完成可数的优秀局部（noetherian）域的必要条件。此外，我们发现完整的本地环是完成可计数的非国际局部域的必要条件，并且在必要和足够的条件下，它是完成可数的非国际局部局部独特因素化域的完成。
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.
