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Homological Algebra I (PDF 85P)
Covered topics are: General manipulations of complexes, More on Koszul complexes, General manipulations applied to projective resolutions, Tor, Regular rings, review of Krull dimension, Regular sequences and Tor, Cohen–Macaulay rings and modules, Injective and divisible modules, Injective resolutions, A definition of Ext using injective resolutions, Duality and injective hulls, Gorenstein rings, Bass numbers.
Author(s): Irena Swanson
85 Pages 
Homological Algebra Notes by Eloisa Grifo
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.
Author(s): Eloisa Grifo
241 Pages
Abstract and Concrete Categories The Joy of Cats
We are working on the detailed description of this book, we will update this section soon.
Author(s): NA
NA Pages