This note covers the following topics: Reflections , Adjoint functors ,
Chain complexes, Homology , Homological algebra, First approximation to derived
functors, Bar resolutions and the classical theory of derived functors, Double
complexes, Long exact sequences, Diagrammatics , The third fundamental lemma,
Generators and cogenerators.
This note explains
categories for the working homological algebraist, The category of chain
complexes, R Mod, Enough projectives and injectives, Resolutions,
Derived functors, Abelian categories and spectral sequences.