2008

Algebra

Fields with Structure, Algebras and Advanced Topics

Authors:

ISBN: 978-0-387-72487-4 (Print) 978-0-387-72488-1 (Online)

Table of contents (15 chapters)

  1. Front Matter

    Pages i-ix

  2. No Access

    Book Chapter

    Pages 1-14

    Ordered Fields and Real Fields

  3. No Access

    Book Chapter

    Pages 15-27

    Hilbert's Seventeenth Problem and the Real Nullstellensatz

  4. No Access

    Book Chapter

    Pages 29-38

    Orders and Quadratic Forms

  5. No Access

    Book Chapter

    Pages 39-63

    Absolute Values on Fields

  6. No Access

    Book Chapter

    Pages 65-74

    Residue Class Degree and Ramification Index

  7. No Access

    Book Chapter

    Pages 75-91

    Local Fields

  8. No Access

    Book Chapter

    Pages 93-108

    Witt Vectors

  9. No Access

    Book Chapter

    Pages 109-126

    The Tsen Rank of a Field

  10. No Access

    Book Chapter

    Pages 127-149

    Fundamentals of Modules

  11. No Access

    Book Chapter

    Pages 151-181

    Wedderburn Theory

  12. No Access

    Book Chapter

    Pages 183-222

    Crossed Products

  13. No Access

    Book Chapter

    Pages 223-238

    The Brauer Group of a Local Field

  14. No Access

    Book Chapter

    Pages 239-251

    Local Class Field Theory

  15. No Access

    Book Chapter

    Pages 253-281

    Semisimple Representations of Finite Groups

  16. No Access

    Book Chapter

    Pages 283-298

    The Schur Group of a Field

  17. Back Matter

    Pages 299-336