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.

Synopsis:

This presentation covers known and new results on extending modules and related notions. An extending module is a module for which every submodule is essential in a direct summand. Semisimple modules, uniform modules and injective modules are examples of extending modules.

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