Category:Homological algebra

• Homological algebra (computing)
• Semiorthogonal decomposition (computing)

A

• AB5 category (computing)
• Abelian category (computing)
• Acyclic model (computing)
• Acyclic object (computing)
• Affine representation (computing)

B

• Banach algebra cohomology (computing)
• Bass number (computing)
• Bockstein homomorphism (computing)

C

• Cartan–Eilenberg resolution (computing)
• Chain complex (computing)
• Chiral homology (computing)
• Cohomological dimension (computing)
• Cohomology of algebras (computing)
• Commutative diagram (computing)
• Crystalline cohomology (computing)
• Cyclic homology (computing)

D

• De Rham–Weil theorem (computing)
• Deligne cohomology (computing)
• Delta-functor (computing)
• Derivator (computing)
• Derived category (computing)
• Derived functor (computing)
• Differential graded category (computing)
• Diffiety (computing)
• Direct limit of groups (computing)

E

• Eilenberg–Ganea theorem (computing)
• Eilenberg–Zilber theorem (computing)
• Étale cohomology (computing)
• Exact category (computing)
• Exact functor (computing)
• Exact sequence (computing)
• Exalcomm (computing)
• Ext functor (computing)

F

• Factorization homology (computing)
• Filtered algebra (computing)
• Finiteness properties of groups (computing)
• Five lemma (computing)
• Flat module (computing)

G

• Galois cohomology (computing)
• Gelfand–Fuks cohomology (computing)
• Gerbe (computing)
• Giraud subcategory (computing)
• Global dimension (computing)
• Gluing axiom (computing)
• Godement resolution (computing)
• Gonality of an algebraic curve (computing)
• Grothendieck category (computing)
• Grothendieck group (computing)
• Grothendieck's Tôhoku paper (computing)
• Group cohomology (computing)

H

• Hilbert's syzygy theorem (computing)
• Hilbert–Poincaré series (computing)
• Hochschild homology (computing)
• Hodge structure (computing)
• Homological conjectures in commutative algebra (computing)
• Homological dimension (computing)
• Homotopy category of chain complexes (computing)
• Horseshoe lemma (computing)
• Hyperhomology (computing)

I

• Inflation-restriction exact sequence (computing)
• Injective module (computing)
• Injective sheaf (computing)
• Invariant basis number (computing)

K

• Koszul complex (computing)
• Koszul–Tate resolution (computing)
• Künneth theorem (computing)

L

• Lie algebra cohomology (computing)
• List of homological algebra topics (computing)
• Localizing subcategory (computing)

M

• Mapping cone (homological algebra) (computing)
• Monad (linear algebra) (computing)
• Monsky–Washnitzer cohomology (computing)
• Motive (algebraic geometry) (computing)

N

• Nine lemma (computing)

P

• Perverse sheaf (computing)
• Principal ideal theorem (computing)
• Projective cover (computing)
• Projective module (computing)
• Projective object (computing)
• Projective representation (computing)

Q

• Quasi-isomorphism (computing)

R

• Resolution (algebra) (computing)

S

• Schanuel's lemma (computing)
• Schur multiplier (computing)
• Secondary calculus and cohomological physics (computing)
• Section (category theory) (computing)
• Severi–Brauer variety (computing)
• Shapiro's lemma (computing)
• Sheaf cohomology (computing)
• Short five lemma (computing)
• Six operations (computing)
• Snake lemma (computing)
• Splitting lemma (computing)
• Standard complex (computing)

T

• T-structure (computing)
• Tate cohomology group (computing)
• Tensor product of modules (computing)
• Topological half-exact functor (computing)
• Tor functor (computing)
• Torsion (algebra) (computing)
• Transgression map (computing)
• Triangulated category (computing)

U

• Universal coefficient theorem (computing)

V

• Verdier duality (computing)

W

• Weak dimension (computing)
• Weak equivalence (homotopy theory) (computing)
• Weil conjectures (computing)

Z

• Zig-zag lemma (computing)