Abstract
An effective way to understand the behavior of a ring R is to study the various ways in which R acts on its left and right modules. Thus, the theory of modules can be expected to be an essential chapter in the theory of rings. Classically, modules were used in the study of representation theory (see Chapter 3 in First Course). With the advent of homological methods in the 1950s, the theory of modules has become much broader in scope. Nowadays, this theory is often pursued as an end in itself. Quite a few books have been written on the theory of modules alone.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Lam, T.Y. (1999). Free Modules, Projective, and Injective Modules. In: Lectures on Modules and Rings. Graduate Texts in Mathematics, vol 189. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0525-8_1
Download citation
DOI: https://doi.org/10.1007/978-1-4612-0525-8_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6802-4
Online ISBN: 978-1-4612-0525-8
eBook Packages: Springer Book Archive