Flat Modules and Homological Dimensions

  • T. Y. Lam
Part of the Graduate Texts in Mathematics book series (GTM, volume 189)

Abstract

This chapter is a natural continuation of Chapter 1 and consists of two long sections. In §4, we study in detail the notion of flat (and faithfully flat) modules, and in §5, we develop the theory of homological dimensions of modules and rings.

Keywords

Exact Sequence Local Ring Short Exact Sequence Left Ideal Noetherian Ring 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • T. Y. Lam
    • 1
  1. 1.Department of MathematicsUniversity of California at BerkeleyBerkeleyUSA

Personalised recommendations