论文标题
规范和括号的交叉点
Regularity and intersections of bracket powers
论文作者
论文摘要
在减少的Noetherian主要特征交换环中，我们证明了一个常规环正是一个正常的环，其中理想的有限相交与采取括号的力量相交。但是，降低性对于这种等效性至关重要。连接是通过欧姆 - 朗什内容理论，Frobenius地图的相交 - 流动性以及各种平坦的标准组成的。
Among reduced Noetherian prime characteristic commutative rings, we prove that a regular ring is precisely one where finite intersection of ideals commutes with taking bracket powers. However, reducedness is essential for this equivalence. Connections are made with Ohm-Rush content theory, intersection-flatness of the Frobenius map, and various flatness criteria.
