Subjects: “...Mathematics, Valuation Theory,Abelian Extensions....”

Subjects: “...Algebraic number theory-- Invariant theory-- P-adic numbers-- Quadratic forms-- Algebraic function...”

Table of Contents: “... that Intn(D) is free / Jesse Elliott -- Some closure operations in Zariski-Riemann spaces of valuation...”

Table of Contents: “...1. Algebraic extensions 2. Galois theory 3. Introduction to valuation theory 4. Extensions...”

Table of Contents: “...Rings and ideals -- Modules and algebras -- Polynomial and power series rings -- Homological tools...”

Table of Contents: “... Decompositions in Extensions / Valuation Theory and Completions / Local Fields and Applications / Global Fields...”