Categories, Modules, and Homological Algebra (and More):

• The CRing Project
• Schapira, Categories and Homological Algebra

Homological Algebra and Derived Functors:

• Weibel, Homological Algebra, Cambridge University Press
• Hilton - Stammbach, Homological Algebra, Springer
• Schapira, Categories and Homological Algebra

Abelian Categories:

• Balmer, Homological Algebra - Lecture Notes
• Weibel, Homological Algebra, Cambridge University Press
• Schapira, Categories and Homological Algebra
• Popescu, Abelian Categories with Applications to Rings and Modules

Triangulated Categories:

• Kashiwara - Schapira, Sheaves on Manifolds, Springer
• Gelfand - Manin, Homological Algebra, Springer
• Schapira, Categories and Homological Algebra
• Keller, Derived Categories and their Uses
• Verdier, Des Categories Derivees des Categories Abeliennes

Gabriel - Zisman Localization:

• Kashiwara - Schapira, Sheaves on Manifolds, Springer
• Gabriel - Zisman, Calculus of Fractions and Homotopy Theory, Springer
• Keller, Derived Categories and their Uses

Derived Categories:

• Kashiwara - Schapira, Sheaves on Manifolds, Springer
• Gelfand - Manin, Homological Algebra, Springer
• Verdier, Des Categories Derivees des Categories Abeliennes
• Keller, Derived Categories and their Uses