This note covers universal
constructions, Tensor products, Injective, Projective and flat module,
Homology, Resolutions, Ext and Tor, Depth, Chain maps and induced maps
on Ext and tor, Ext, Tor and homological dimensions, Long exact
sequences, Depth and homological dimensions, Regular local rings.
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.