Lecture Notes in Mathematics

Greither, Cornelius

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

Published by: Springer

Publication Date: 1992-12-14

Format: Paperback

ISBN-13: 9783540563501

DOI: 10.1007/BFb0089165

Dimensions: 235cm x155cm

Pages: 146