Colength, multiplicity, and ideal closure operations
Colength, multiplicity, and ideal closure operations
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DOI：
10.1080/00927872.2019.1691577
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发表时间：
2019-07
影响因子：
0.7
通讯作者：
Linquan Ma;Pham Hung Quy;I. Smirnov
中科院分区：
文献类型：
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作者：
Linquan Ma;Pham Hung Quy;I. Smirnov
在形式非混合Noether局部环中，若整闭理想的色长与重数一致，则R是正则的。我们推导出这使用多重性和各种理想的封闭操作之间的关系。
Abstract In a formally unmixed Noetherian local ring, if the colength and multiplicity of an integrally closed ideal agree, then R is regular. We deduce this using the relationship between multiplicity and various ideal closure operations.