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Results tagged with homological-algebra
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user 286155
(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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A Galois connection arising from discussion concerning flat module and pure exact sequence
There is some sort of symmetry in the definition of flat module and pure short exact sequence which can be made precise as follows.
Let $R$ be a ring (with unit), $\mathcal{R}$ be the class of all rig …
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