数学
素数(序理论)
诺瑟人
方案(数学)
类型(生物学)
一般化
关联素数
离散数学
组合数学
纯数学
域代数上的
数学分析
生态学
生物
作者
Mitsuyasu Hashimoto,Mitsuhiro Miyazaki
标识
DOI:10.1080/00927872.2012.656335
摘要
Let G be a flat finite-type group scheme over a scheme S, and X a noetherian S-scheme on which G acts. We define and study G-prime and G-primary G-ideals on X and study their basic properties. In particular, we prove the existence of minimal G-primary decomposition and the well-definedness of G-associated G-prime G-ideals. We also prove a generalization of Matijevic–Roberts type theorem. In particular, we prove Matijevic–Roberts type theorem on graded rings for F-regular and F-rational properties.
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