Homological algebra
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External resources
Subcategories
Concepts
- Abelian category
- Acyclic model
- Acyclic object
- Affine representation
- Banach algebra cohomology
- Bockstein homomorphism
- Canonical morphism
- Cartan-Eilenberg resolution
- Chain complex
- Cohomological dimension
- Cohomology
- Cohomology of algebras
- Cone morphism
- Crystalline cohomology
- Cyclic homology
- Deligne cohomology
- Delta-functor
- De Rham-Weil theorem
- Derived category
- Derived functor
- Differential graded category
- Diffiety
- Direct limit of groups
- Eilenberg-Zilber theorem
- Étale cohomology
- Exact category
- Exact functor
- Exact sequence
- Ext functor
- Filtered algebra
- Five lemma
- Flat module
- Galois cohomology
- Gerbe
- Global dimension
- Gluing axiom
- Godement resolution
- Grothendieck group
- Group cohomology
- Groupoid representations
- Higson compactification
- Higson corona
- Hilbert's syzygy theorem
- Hochschild complex
- Hochschild homology
- Hodge structure
- Homological conjectures in commutative algebra
- Homological dimension
- Homotopy category of chain complexes
- Horseshoe lemma
- Hyperhomology
- Inflation-restriction exact sequence
- Injective module
- Injective sheaf
- Invariant basis number
- Koszul complex
- Koszul-Tate resolution
- Künneth theorem
- Lie algebra cohomology
- Local cohomology
- Mapping cone
- Monsky-Washnitzer cohomology
- Motive
- Nine lemma
- Perverse sheaf
- Principal ideal theorem
- Projective module
- Projective object
- Projective representation
- Quasi-isomorphism
- Rigid cohomology
- Schanuel's lemma
- Schur multiplier
- Secondary calculus and cohomological physics
- Severi-Brauer variety
- Shapiro's lemma
- Sheaf cohomology
- Sheaf extension
- Short five lemma
- Snake lemma
- Spherical fibration
- Splitting lemma
- Standard complex
- Tate cohomology group
- Tensor product of modules
- Topological half-exact functor
- Tor functor
- Triangulated category
- Universal coefficient theorem
- Verdier duality
- Weil conjectures
- Zig-zag lemma
Categorization
Mathematics (under construction)Synonyms
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