The structure of Ulrich ideals in Cohen-Macaulay local rings of dimension one
The structure of Ulrich ideals in Cohen-Macaulay local rings of dimension one
复制标题
一维科恩-麦考利局部环中乌尔里希理想的结构
DOI：
10.1007/s40306-018-0283-y
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
and Shinya Kumashiro
中科院分区：
文献类型：
--
作者：
Shiro Goto;Ryotaro Isobe;and Shinya Kumashiro
本文研究一维科恩-麦考利局部环中的乌尔里希理想。给出了乌尔里希理想和过环之间的对应关系。利用这些对应关系，乌尔里希理想的链条被仔细探索。分析了环具有最小重数和GGL环的具体情况。
This paper studies Ulrich ideals in one-dimensional Cohen-Macaulay local rings. A correspondence between Ulrich ideals and overrings is given. Using the correspondence, chains of Ulrich ideals are closely explored. The specific cases where the rings are of minimal multiplicity and GGL rings are analyzed.