二维正则局部环上不可分解整闭模的构造
Constructing indecomposable integrally closed modules over a two-dimensional regular local ring
摘要：
本文构造了二维正则局部环上秩为2的整闭模。这些模是由给定的关于正则参数系的完全单项式理想显式构造的。然后我们研究它们的不可分解性。因此，我们有一大类不可分解的整闭模，它们的Fitting理想并不简单。这就回答了Kodiyalam的问题。
英文摘要：
In this article, we construct integrally closed modules of rank two over a two-dimensional regular local ring. The modules are explicitly constructed from a given complete monomial ideal with respect to a regular system of parameters. Then we investigate their indecomposability. As a consequence, we have a large class of indecomposable integrally closed modules whose Fitting ideal is not simple. This gives an answer to Kodiyalam's question.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
