Algebra Volume II: Fields with Structure, Algebras and Advanced Topics /

The present textbook is a lively, problem-oriented and carefully written introduction to classical modern algebra. The author leads the reader through interesting subject matter, while assuming only the background provided by a first course in linear algebra. The first volume focuses on field extens...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Lorenz, Falko (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2008.
Edición:1st ed. 2008.
Colección:Universitext,
Temas:
Algebra.
Commutative algebra.
Commutative rings.
Algebraic fields.
Polynomials.
Algebras, Linear.
Number theory.
Commutative Rings and Algebras.
Field Theory and Polynomials.
Linear Algebra.
Number Theory.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Ordered Fields and Real Fields
  • Hilbert's Seventeenth Problem and the Real Nullstellensatz
  • Orders and Quadratic Forms
  • Absolute Values on Fields
  • Residue Class Degree and Ramification Index
  • Local Fields
  • Witt Vectors
  • The Tsen Rank of a Field
  • Fundamentals of Modules
  • Wedderburn Theory
  • Crossed Products
  • The Brauer Group of a Local Field
  • Local Class Field Theory
  • Semisimple Representations of Finite Groups
  • The Schur Group of a Field.

Ejemplares similares