Division Algebras over Number Fields

  • Richard S. Pierce
Part of the Graduate Texts in Mathematics book series (GTM, volume 88)


In this chapter we come to some of the deepest and most beautiful results in modern algebra. These are the theorems that classify and describe the central simple algebras over algebraic number fields. This work is associated with the names of several of the greatest heroes of mathematics: Hasse, Brauer, Noether, and Albert. It is based on developments in number theory that are due to Kronecker, Weber, Hilbert, Minkowski, Furtwangler, Artin, Takagi, Hasse, Witt, and many others.


Prime Divisor Division Algebra Algebraic Number Galois Extension Basic Theorem 
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Copyright information

© Springer-Verlag New York Inc. 1982

Authors and Affiliations

  • Richard S. Pierce
    • 1
  1. 1.University of ArizonaTucsonUSA

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