Characterization of completions of unique factorization domains
Characterization of completions of unique factorization domains
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独特分解域完成的表征
DOI：
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发表时间：
1993
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影响因子：
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通讯作者：
R. Heitmann
中科院分区：
文献类型：
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作者：
R. Heitmann
证明了完备局部环是唯一分解整环的完备当且仅当它是域、离散赋值环或它的深度至少为2且它的素环中没有元素是零因子。证明了正规链猜想是错误的，存在局部非悬链线UFD
It is shown that a complete local ring is the completion of a unique factorization domain if and only if it is a field, a discrete valuation ring, or it has depth at least two and no element of its prime ring is a zerodivisor. It is also shown that the Normal Chain Conjecture is false and that there exist local noncatenary UFDs