Value Functions on Simple Algebras, and Associated Graded Rings

• Main Authors: Tignol, Jean-Pierre (Author), Wadsworth, Adrian R. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Associative rings.; Rings (Algebra).; Algebra.; Field theory (Physics).; Associative Rings and Algebras.; Field Theory and Polynomials.

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...