Cyclic Galois Extensions of Commutative Rings
(Sprache: Englisch)
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...
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...
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Klappentext zu „Cyclic Galois Extensions of Commutative Rings “
The structure theory of abelian extensions of commutativerings 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.
Inhaltsverzeichnis zu „Cyclic Galois Extensions of Commutative Rings “
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".
Bibliographische Angaben
- Autor: Cornelius Greither
- 1992, 156 Seiten, Maße: 15,5 x 23,5 cm, Taschenbuch, Englisch
- Verlag: Springer Berlin Heidelberg
- ISBN-10: 3540563504
- ISBN-13: 9783540563501
- Erscheinungsdatum: 14.12.1992
Sprache:
Englisch
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