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Cyclic Galois Extensions of Commutative Rings (Lecture Notes in Mathematics, 1534) - Softcover

Greither, Cornelius

 
9783540563501: Cyclic Galois Extensions of Commutative Rings (Lecture Notes in Mathematics, 1534)

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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