Abstract
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 ExtΛ(A, B), TorΛ(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).
Chapter VIII is somewhat special in this respect, in that it introduces a new tool in homological algebra, the theory of spectral sequences.
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© 1997 Springer Science+Business Media New York
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Hilton, P.J., Stammbach, U. (1997). Derived Functors. In: A Course in Homological Algebra. Graduate Texts in Mathematics, vol 4. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8566-8_5
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DOI: https://doi.org/10.1007/978-1-4419-8566-8_5
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