This monograph arose from lectures at the University of Oklahoma on topics related to linear algebra over commutative rings. It provides an introduction of matrix theory over commutative rings. The monograph discusses the structure theory of a projective module.

chapter Chapter I|96 pages

Matrix Theory Over Commutative Rings

chapter Chapter II|56 pages

Free Modules

chapter Chapter III|97 pages

The Endomorphism Ring of a Projective Module

chapter Chapter IV|109 pages

Projective Modules

chapter Chapter V|146 pages

Theory of a Single Endomorphism