Difference Algebra

• Main Author: Levin, Alexander (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2008.
• Series: Algebra and Applications ; 8
• Subjects: Mathematics.; Algebra.; Commutative algebra.; Commutative rings.; Field theory (Physics).; Difference equations.; Functional equations.; Field Theory and Polynomials.; Commutative Rings and Algebras.; Difference and Functional Equations.

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...

Table of Contents:

• 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.