Classes of Modules

Classes of Modules demonstrates that in the next generation of ring and module theory, it will be very important to work with the type dimension of a module, natural classes, and type submodules. This book presents the concepts of type dimension, a natural class, and a type submodule, by exploring how they enter into much of ring and module theory. It carefully develops the foundations of the subject and the advanced theorems. Self-contained, accessible, and well-suited for those with some background in basic ring and module theory, this text compiles material that was previously scattered throughout the literature, along with improved and extended results as well as simplified proofs.