Good introductory books on homological algebra

Which books would you recommend, for self-studying homological algebra, to a beginning graduate (or advanced undergraduate) student who has background in ring theory, modules, basic commutative algebra (some of Atiyah & Macdonald’s book) and some (basic) field theory?

I would especially like to hear your opinions on the following books:

A Course On Homological Algebra / P. J Hilton and U. Stambach

Introduction to Homological Algebra / Szen-Tsen Hu

Notes on Homological Algebra / Rotman

But other recommendations will also be appreciated.


See also A first course of homological algebra by Northcott. There’s a list in this review if you have access to MathSciNet.

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