[Math] Homological Algebra texts

at.algebraic-topologybookshomological-algebrasoft-questiontextbook-recommendation

I would like to hear the communities' ideas on good Homological Algebra textbooks / references. The standard example is of course Weibel (which I'll leave for someone else to describe).

As usual, the rule is one reference per post. Please include some description which distinguishes it from other texts.

Best Answer

Charles Weibel's "An Introduction To Homological Algebra" is the gold standard. Very modern, very clear and written by a master. But it may be a bit rough going for beginners. Much more user friendly and still very thorough is the second edition of Joseph Rotman's book of the same name. Like everything by Rotman, it's a wonderful and enlightening read.