Compatible ideals in ℚ-Gorenstein rings
Compatible ideals in ℚ-Gorenstein rings
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α-Gorenstein 环中的相容理想
DOI：
10.1090/proc/16331
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发表时间：
2023
影响因子：
1
通讯作者：
Schwede, Karl
中科院分区：
文献类型：
--
作者：
Polstra, Thomas;Schwede, Karl
设是素特征的a-有限纯Gorenstein局部环。本文证明了理想是一致相容理想（与全线性映射）当且仅当存在模有限环映射使得理想是全线性映射的象之和。换句话说，一致相容理想的集合恰好是有限环映射的迹理想的集合。引用
Supposeis a-finite and-pure-Gorenstein local ring of prime characteristic. We show that an idealis uniformly compatible ideal (with all-linear maps) if and only if exists a module finite ring mapsuch that the idealis the sum of images of all-linear maps. In other words, the set of uniformly compatible ideals is exactly the set of trace ideals of finite ring maps. References