 List of homological algebra topics

This is a list of homological algebra topics, by Wikipedia page.
Basic techniques
 Cokernel
 Exact sequence
 Chain complex
 Differential module
 Five lemma
 Short five lemma
 Snake lemma
 Nine lemma
 Extension (algebra)
 Projective module
 Injective module
 Projective resolution
 Injective resolution
 Koszul complex
 Exact functor
 Derived functor
 Ext functor
 Tor functor
 Filtration (abstract algebra)
 Spectral sequence
 Abelian category
 Triangulated category
 Derived category
Applications
 Group cohomology
 Galois cohomology
 Lie algebra cohomology
 Sheaf cohomology
 Whitehead problem
 Homological conjectures in commutative algebra
Categories: Mathematicsrelated lists
 Homological algebra
 Algebraic topology
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