Cyclic Galois extensions of commutative rings /

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Bibliographic Details
Author / Creator:Greither, Cornelius.
Imprint:Berlin ; New York : Springer-Verlag, ©1992.
Description:1 online resource (x, 145 pages) : illustrations.
Language:English
Series:Lecture notes in mathematics, 0075-8434 ; 1534
Lecture notes in mathematics (Springer-Verlag) ; 1534.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11070193
Hidden Bibliographic Details
ISBN:9783540475392
3540475397
3540563504
9783540563501
0387563504
9780387563503
Notes:Includes bibliographical references (pages 140-143) and index.
Print version record.
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 extensions quite explicitly are also described at length.
Other form:Print version: Greither, Cornelius. Cyclic Galois extensions of commutative rings. Berlin ; New York : Springer-Verlag, ©1992 3540563504