ABSTRACT

Because traditional ring theory places restrictive hypotheses on all submodules of a module, its results apply only to small classes of already well understood examples. Often, modules with infinite Goldie dimension have finite-type dimension, making them amenable to use with type dimension, but not Goldie dimension. By working with natural classes

chapter 1|6 pages

Preliminary Background

chapter 2|26 pages

Important Module Classes and Constructions

chapter 3|38 pages

Finiteness Conditions

chapter 4|36 pages

Type Theory of Modules: Dimension

chapter 5|42 pages

Type Theory of Modules: Decompositions

chapter 6|56 pages

Lattices of Module Classes