Cyclic Galois Extensions of Commutative Rings / Edition 1

Cyclic Galois Extensions of Commutative Rings / Edition 1

by Cornelius Greither
     
 

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ISBN-10: 3540563504

ISBN-13: 9783540563501

Pub. Date: 01/26/1993

Publisher: Springer Berlin Heidelberg

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

Overview

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.

Product Details

ISBN-13:
9783540563501
Publisher:
Springer Berlin Heidelberg
Publication date:
01/26/1993
Series:
Lecture Notes in Mathematics Series, #1534
Edition description:
1992
Pages:
146
Product dimensions:
6.14(w) x 9.21(h) x 0.33(d)

Related Subjects

Table of Contents

Galois theory of commutative rings.- Cyclotomic descent.- Corestriction and Hilbert's Theorem 90.- Calculations with units.- Cyclic p-extensions and {ie771-}-extensions of number fields.- Geometric theory: cyclic extensions of finitely generated fields.- Cyclic Galois theory without the condition “p—1— R”.

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