Lower complete intersection dimension over local homomorphisms

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• 作者：Li Liang ; Gang Yang
• 关键词：Complete intersection dimension ; lower complete intersection dimension ; Cohen factorization
• 刊名：Indian Journal of Pure and Applied Mathematics
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：47
• 期：4
• 页码：673-686
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics, general; Applications of Mathematics; Numerical Analysis;
• 出版者：Indian National Science Academy
• ISSN：0975-7465
• 卷排序：47

文摘

We introduce and study a theory of lower complete intersection dimension over local homomorphisms which encompasses the theory of lower complete intersection dimension for finite modules over local rings introduced by Gerko. In particular, we show that the lower complete intersection dimension over local homomorphisms reflects the complete intersection property of base rings as expected. As an application, we prove that the converse of a theorem of Sather-Wagstaff is also true.