Book: Cyclic Galois Extensions Of Commutative Rings 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.
Details of Book: Cyclic Galois Extensions Of Commutative Rings Book: Cyclic Galois Extensions Of Commutative Rings
Author: Greither,
ISBN: 0387563504
ISBN-13: 9780387563503
, 978-0387563503
Binding: Paperback
Publishing Date: 1993
Publisher: Springer-verlag
Number of Pages: 155