Cyclic Galois Extensions of Commutative Rings

von Cornelius Greither

146 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• ISBN: 9783540563501
• Sprache: Englisch
• Erscheinungsdatum: 14.12.1992
• Genre: Mathematik/Arithmetik, Algebra
• Verlag: Springer Berlin