The Decomposition of Primes in Torsion Point Fields / Lecture Notes in Mathematics Bd.1761 (PDF)
(Sprache: Englisch)
It is an historical goal of algebraic number theory to relate all algebraic extensionsofanumber?eldinauniquewaytostructuresthatareexclusively described in terms of the base ?eld. Suitable structures are the prime ideals of the ring of integers of the...
sofort als Download lieferbar
eBook (pdf)
Fr. 50.50
inkl. MwSt.
- Kreditkarte, Paypal, Rechnung
- Kostenloser tolino webreader
Produktdetails
Produktinformationen zu „The Decomposition of Primes in Torsion Point Fields / Lecture Notes in Mathematics Bd.1761 (PDF)“
It is an historical goal of algebraic number theory to relate all algebraic extensionsofanumber?eldinauniquewaytostructuresthatareexclusively described in terms of the base ?eld. Suitable structures are the prime ideals of the ring of integers of the considered number ?eld. By examining the behaviouroftheprimeidealswhenembeddedintheextension?eld,su?cient information should be collected to distinguish the given extension from all other possible extension ?elds. The ring of integers O of an algebraic number ?eld k is a Dedekind ring. k Any non-zero ideal in O possesses therefore a decomposition into a product k of prime ideals in O which is unique up to permutations of the factors. This k decomposition generalizes the prime factor decomposition of numbers in Z Z. In order to keep the uniqueness of the factors, view has to be changed from elements of O to ideals of O . k k Given an extension K/k of algebraic number ?elds and a prime ideal p of O , the decomposition law of K/k describes the product decomposition of k the ideal generated by p in O and names its characteristic quantities, i. e. K the number of di?erent prime ideal factors, their respective inertial degrees, and their respective rami?cation indices. Whenlookingatdecompositionlaws,weshouldinitiallyrestrictourselves to Galois extensions. This special case already o?ers quite a few di?culties.
Bibliographische Angaben
- Autor: Clemens Adelmann
- 2004, 2001, 148 Seiten, Englisch
- Verlag: Springer Berlin Heidelberg
- ISBN-10: 3540449493
- ISBN-13: 9783540449492
- Erscheinungsdatum: 11.10.2004
Abhängig von Bildschirmgrösse und eingestellter Schriftgrösse kann die Seitenzahl auf Ihrem Lesegerät variieren.
eBook Informationen
- Dateiformat: PDF
- Grösse: 2.89 MB
- Ohne Kopierschutz
- Vorlesefunktion
Sprache:
Englisch
Kommentar zu "The Decomposition of Primes in Torsion Point Fields / Lecture Notes in Mathematics Bd.1761"
0 Gebrauchte Artikel zu „The Decomposition of Primes in Torsion Point Fields / Lecture Notes in Mathematics Bd.1761“
Zustand | Preis | Porto | Zahlung | Verkäufer | Rating |
---|
Schreiben Sie einen Kommentar zu "The Decomposition of Primes in Torsion Point Fields / Lecture Notes in Mathematics Bd.1761".
Kommentar verfassen