ENGLISH

Cyclic Galois Extensions of Commutative Rings

By Cornelius Greither (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1992
ISBN
9780387563503, 0-387-56350-4, 3540563504
DOI
10.1007/BFb0089165
LCC
QA3 .L28 no. 1534,QA251.3 .L28 no. 1534
Open Library ID
OL1736085M
Language
english
Format
DJVU
Filesize
1 MB (1129343 bytes)
Series
Lecture Notes in Mathematics 1534
Edition
1
Pages
146\154
Topic
Mathematics Algebra
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11
Number Theory; Algebra

Description

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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