Algebraic Number Theory

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Geliefert zwischen Mo., 26.01.2026 und Di., 27.01.2026

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In mathematics, algebraic number theory is a major branch of number theory which studies algebraic structures related to algebraic integers. This is generally accomplished by considering a ring of algebraic integers O in an algebraic number field K/Q, and studying their algebraic properties such as factorization, the behaviour of ideals, and field extensions. In this setting, the familiar features of the integers such as unique factorization need not hold. The virtue of the primary machinery employed Galois theory, group cohomology, group representations, and L-functions is that it allows one to deal with new phenomena and yet partially recover the behaviour of the usual integers.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786130269111
    • Editor Frederic P. Miller, Agnes F. Vandome, John McBrewster
    • EAN 9786130269111
    • Format Fachbuch
    • Titel Algebraic Number Theory
    • Herausgeber Alphascript Publishing
    • Anzahl Seiten 136
    • Genre Mathematik

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