Linear equivalence of ideal topologies
Linear equivalence of ideal topologies
复制标题
理想拓扑的线性等价
DOI：
10.1007/s002090050007
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发表时间：
2000
影响因子：
0.8
通讯作者：
I. Swanson
中科院分区：
文献类型：
--
作者：
I. Swanson
抽象的。证明了：当P是交换Noether环中的素理想且P-adic拓扑与P-symbolic拓扑等价时，这两个拓扑线性等价.几个明确的例子计算，特别是对所有的素理想对应的非扭点的非奇异椭圆三次曲线。
Abstract. It is proved that whenever P is a prime ideal in a commutative Noetherian ring such that the P-adic and theP-symbolic topologies are equivalent, then the two topologies are equivalent linearly. Several explicit examples are calculated, in particular for all prime ideals corresponding to non-torsion points on nonsingular elliptic cubic curves.