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.KeywordsExact SequenceLocal RingShort Exact SequenceLeft IdealNoetherian RingThese 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.
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