Classes of Modules

by John Dauns, Yiqiang Zhou

Overview

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

Product Details

ISBN-13:	9781040209219
Publisher:	CRC Press
Publication date:	06/19/2006
Series:	Chapman & Hall/CRC Pure and Applied Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	232
File size:	780 KB

About the Author

John Dauns, Yiqiang Zhou

Table of Contents

Preliminary Background. Important Module Classes and Constructions. Finiteness Conditions. Type Dimension. Type Theory of Modules: Decompositions. Lattices of Module Classes.

Editorial Reviews

"This nice book is written in a very clear and explanatory style, offering a self-contained presentation as well as illustrative examples, and demonstrating how the themes of (pre-) natural classes and type submodules structure much of Ring and Module Theory. I believe that I should be on the desk of anybody working in this area of Algebra."

– Toma Albu, in Mathematical Reviews, 2007m

From the Publisher