Difference Algebra

Difference algebra grew out of the study of algebraic difference equations with coefficients from functional fields in much the same way as the classical algebraic geometry arose from the study of polynomial equations with numerical coefficients. The first stage of the development of the theory is a...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Levin, Alexander (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Dordrecht : Springer Netherlands : Imprint: Springer, 2008.
Edición:1st ed. 2008.
Colección:Algebra and Applications, 8
Temas:
Algebra.
Algebraic fields.
Polynomials.
Commutative algebra.
Commutative rings.
Difference equations.
Functional equations.
Field Theory and Polynomials.
Commutative Rings and Algebras.
Difference and Functional Equations.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preliminaries
  • Basic Concepts of Difference Algebra
  • Difference Modules
  • Difference Field Extensions
  • Compatibility, Replicability, and Monadicity
  • Difference Kernels over Partial Difference Fields. Difference Valuation Rings
  • Systems of Algebraic Difference Equations
  • Elements of the Difference Galois Theory.

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