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Homological algebra
Definitions and resources
ScienceWISE definitions
External resources
Homological algebra (1) by Wikipedia
Homological algebra by Wikipedia
Subcategories and concepts
Subcategories
Concepts
Abelian category
Acyclic model
Acyclic object
Affine representation
Banach algebra cohomology
Bockstein homomorphism
Cartan-Eilenberg resolution
Chain complex
Cohomological dimension
Cohomology
Cohomology of algebras
Crystalline cohomology
Cyclic homology
De Rham-Weil theorem
Deligne cohomology
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
Hilbert's syzygy theorem
Hochschild homology
Motive
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
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
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
Delta-functor
Cone morphism
Canonical morphism
Spherical fibration
Groupoid representations
Hochschild complex
Higson compactification
Higson corona
General information
Categorization
Also known as
Mathematics (under construction)