Homology

This systematic introduction to homological algebra begins with basic notions in abstract algebra and category theory before continuing to more advanced topics. Exercises throughout the text give elementary practice in the concepts presented and formulate additional results.

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This is a systematic introduction to homological algebra, starting with basic notions in abstract algebra and category theory and continuing with an up-to-date treatment of various advanced topics. The main ideas are introduced gradually with many examples illustrating why they are needed and what they can do. In conclusion, the book treats additive functions in an abelian category relative to a proper class of exact sequences subsuming earlier results. The author has added many historical notes and also exercises which are designed both to give elementary practice in the concepts presented and to formulate additional results not included in the text.