Flat Modules and Homological Dimensions

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


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.


Exact Sequence Local Ring Short Exact Sequence Left Ideal Noetherian Ring 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

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

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