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

Greither, Cornelius

 
9783540563501: Cyclic Galois Extensions of Commutative Rings: 1534 (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.

"synopsis" may belong to another edition of this title.

Synopsis

This exposition is aimed at readers with some background in either commutative algebra or algebraic number theory. Emphasis is placed on the notion of a normal basis, which allows researchers to view Leopoldt's conjecture on number theory from a new angle.

"About this title" may belong to another edition of this title.

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9780387563503: Cyclic Galois Extensions of Commutative Rings (Lecture Notes in Mathematics, 1534)

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ISBN 10:  0387563504 ISBN 13:  9780387563503
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