ABSTRACT

The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics. General algebra, more specifically non-commutative algebra, is poised for major advances in the twenty-first century (together with and in interaction with combinatorics), just as topology, analysis, and probability experienced in the twentieth centu

chapter 1|36 pages

Preliminaries

chapter 3|45 pages

Valuation Rings

chapter 6|33 pages

Rings with Finiteness Conditions