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Cyclic Galois Extensions Of Commutative Rings

by

Greither, C.

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Cyclic Galois Extensions Of Commutative Rings, ISBN 9783540563501 Own This Book? Sell It
ISBN-13:

9783540563501

ISBN:

3540563504

Pub Date: 2008
Publisher: Springer Summary: 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 ex [read more]
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ISBN-13:

9783540563501


ISBN:

3540563504


Pub Date: 2008
Publisher: Springer

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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