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Cyclic Galois Extensions of Commutative Rings

โœ Scribed by Cornelius Greither (auth.)

Book ID
127448654
Publisher
Springer
Year
1992
Tongue
English
Weight
8 MB
Edition
1
Category
Library
City
Berlin; New York
ISBN-13
9780387563503

No coin nor oath required. For personal study only.

โœฆ 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.

โœฆ Subjects

Algebra

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