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Refs:
- Borcherds videos: https://www.youtube.com/watch?v=9kAusX_AJ7Q #resources/videos
- Weibel Homological Algebra #resources/books
- Gelfand and Manin Methods of Homological Algebra #resources/books
- Kashiwara and Shapira Categories and Sheaves #resources/books
- Hilton and Stambach, Homological algebra #resources/books
- Cartan and Eilenberg, *Homological algebra #resources/books *
- Grothendieck, Tohoku J. paper #resources/papers
- MacLane, Homology #resources/books\
- Eisenbud Commutative Algebra with a View Toward Algebraic Geometry #resources/books
- Bourbaki Commutative Algebra #resources/books
- Atiyah and MacDonald Commutative Algebra #resources/books
- Zariski and Samuel, *Commutative algebra, two volumes #resources/books *
- Milnor Introduction to algebraic K-theory #resources/books
- Rosenberg Introduction to algebraic K-theory #resources/books
- Srinivas Algebraic K-theory #resources/books\
- Mitchell Theory of categories #resources/books
- Freyd Abelian categories #resources/books
- MacLane Categories for the working mathematician #resources/books
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The classic reference on homological algebra is Cartan and Eilenber. One may also consult Mac Lane, Rotman , Weibel , Hilton and Stammback , Bourbaki , Godement and Grothendieck .
- For recent developments and many more references, see Gelfand and Manin’s excellent books. For a global perspective on the role of homological algebra in mathematics, see Dieudonne.
- https://server.mcm.ac.cn/~zheng/homalg.pdf
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Links:
- derived category
- Weak equivalence
- Chain homotopy equivalence
- quasiisomorphism
- homotopy category
- Triangulated category
- Phantom map
- Riemann-Hilbert correspondence
- Unsorted/sphere and disc objects in chain complexes
- Unsorted/projective object
Classical homological algebra
Unsorted
- What is the difference between the derived category and the homotopy category? #todo/questions