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Results tagged with homological-algebra
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user 42369
(Co)chain complexes, abelian Categories, (pre)sheaves, (co)homology in various (possibly highly generalized) settings, spectra, derived functors, resolutions, spectral sequences, homotopy categories. Chain complexes in an abelian category form the heart of homological algebra.
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Why the term "monad" in homological algebra?
A projective resolution "splits" into monads in the following way.
Each exact complex of projectives $\dots \to P_{n+1} \to P_n \to P_{n-1} \to \dots $
is a gluing of monads $0\to Z_{n} \to P_n \to …
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