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Cyclic Galois extensions of commutative rings

Cornelius Greither · 2006

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About the book

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.

Book details

Year
2006
Language
English
Publisher
Springer London, Limited
Editions
1
ISBN
9783540475392

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