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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)

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