ABSTRACT

Module theory is an important tool for many different branches of mathematics, as well as being an interesting subject in its own right. Within module theory, the concept of injective modules is particularly important. Extending modules form a natural class of modules which is more general than the class of injective modules but retains many of its desirable properties. This book gathers together for the first time in one place recent work on extending modules. It is aimed at anyone with a basic knowledge of ring and module theory.

chapter 1|28 pages

Basic Notions

chapter 2|26 pages

Singular and uniform modules

chapter 3|37 pages

The extending property

chapter 4|44 pages

Related Modules Extending

chapter 5|33 pages

Injectivity of Certain Modules

chapter 6|38 pages

Chain Conditions