In this chapter we go to the heart of homological algebra. Everything up to this point can be regarded as providing essential background for the theory of derived functors, and introducing the special cases of Ext Λ (A, B), Tor Λ (A, B). Subsequent chapters take up more sophisticated properties of derived functors and special features of the theory in various contexts* (cohomology of groups, cohomology of Lie algebras).
KeywordsAbelian Group Exact Sequence Chain Complex Short Exact Sequence Natural Transformation
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