Homological algebra

Homological algebra is the branch of mathematics that studies homology in a general algebraic setting.

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Homological algebra, conceived as a general tool reaching beyond all special cases, was invented by Cartan and Eilenberg (their book “Homological Algebra” appeared in 1956). This book is a very precise exposition, but limited to the theory of modules over rings and the associated functors “Ext” and “Tor”.
- Cartier, Pierre (27 November 2004), "Un pays dont on ne connaîtrait que le nom (Grothendieck et les " motifs ")", in Cartier, Pierre; Charraud, Nathalie (in French), Réel en mathématiques-psychanalyse et mathématiques, Editions Agalma, English translation: A country of which nothing is known but the name Grothendieck and "motives".

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Homological algebra

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