
Cyclic Galois Extensions of Commutative Rings
Cornelius Greither(Author)
Springer (Publisher)
Published on 14. December 1992
Book
Paperback/Softback
X, 146 pages
978-3-540-56350-1 (ISBN)
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.
More details
Series
Edition
1992 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
X, 146 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 9 mm
Weight
248 gr
ISBN-13
978-3-540-56350-1 (9783540563501)
DOI
10.1007/BFb0089165
Schweitzer Classification
Content
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".