Title: Cyclic Galois Extensions of Commutative Rings (Lecture Notes in Mathematics, 1534)
Publisher: Springer
Publication Date: 1992
Language: English
ISBN 10: 3540563504
ISBN 13: 9783540563501
Binding: Soft cover
Condition: New

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Synopsis

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.

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