Value Functions on Simple Algebras, and Associated Graded Rings

This monograph is the first book-length treatment of valuation theory on finite-dimensional division algebras, a subject of active and substantial research over the last forty years. Its development was spurred in the last decades of the twentieth century by important advances such as Amitsur's...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Tignol, Jean-Pierre (Autor), Wadsworth, Adrian R. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:Springer Monographs in Mathematics,
Temas:
Associative rings.
Associative algebras.
Algebraic fields.
Polynomials.
Associative Rings and Algebras.
Field Theory and Polynomials.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Valuations on Division Rings
  • Graded Algebra
  • Value Functions
  • Existence and Fundamental Properties of Gauges
  • Graded and Valued Field Extensions
  • Brauer Groups
  • Total Ramifcation
  • Division Algebras over Henselian Fields
  • Subfields and Splitting Fields of Division Algebras
  • Indecomposable Division Algebras
  • Computation of SK1(D)
  • The Essential Dimension of Central Simple Algebras.

Ejemplares similares