Pierre Samuel

Algebraic Theory of Numbers

Translated from the French by Allan J. Silberger

• Broschiertes Buch

Produktbeschreibung

This text covers the basics of algebraic number theory, including divisibility theory in principal ideal domains, the unit theorem, finiteness of the class number, and Hilbert ramification theory. 1970 edition.

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Produktdetails

• Verlag: Dover Publications
• Seitenzahl: 112
• Erscheinungstermin: 19. Mai 2008
• Englisch
• Abmessung: 233mm x 157mm x 6mm
• Gewicht: 159g
• ISBN-13: 9780486466668
• ISBN-10: 0486466663
• Artikelnr.: 23366089

Inhaltsangabe

Translator's Introduction Introduction Notations, Definitions, and
Prerequisites 1. Principal ideal rings 2. Elements integral over a ring;
elements algebraic over a field Appendix: The field of complex numbers is
algebraically closed 3. Noetherian rings and Dedekind rings 4. Ideal
classes and the unit theorem Appendix: The calculation of a volume 5. The
splitting of prime ideals in an extension field 6. Galois extensions of
number fields A supplement, without proofs Exercises Bibliography Index