Cyclic Galois Extensions of Commutative Rings
Cyclic Galois Extensions of Commutative Rings
复制标题
交换环的循环伽罗瓦扩张
DOI：
10.1007/bfb0089165
复制
发表时间：
1993
期刊：
影响因子：
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通讯作者：
C. Greither
中科院分区：
文献类型：
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作者：
C. Greither
交换环的交换扩张的结构理论是交换代数与代数数论交叉的一个学科。这篇文章是针对在这两个领域都有一定背景的读者的。重点是给出了一个正常的基础，它允许一个著名的猜想在数论（Leopoldt猜想）从一个新的角度来看的概念。构造某些扩展的方法也被详细描述。
The structure theory of abelian extensions of commutative rings is a subjectwhere commutative algebra and algebraic number theory overlap. This exposition is aimed at readers with some background in either of these two fields. Emphasis is given to the notion of a normal basis, which allows one to view in a well-known conjecture in number theory (Leopoldt's conjecture) from a new angle. Methods to construct certain extensions quite explicitly are also described at length.