Category:Homological algebra
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Here is a list of articles in the Homological algebra category of the Computing portal that unifies foundations of mathematics and computations using computers. Homological algebra is a collection of algebraic techniques that originated in the study of algebraic topology but has also found applications to group theory and algebraic geometry.
Subcategories
This category has the following 6 subcategories, out of 6 total.
D
H
K
S
Pages in category "Homological algebra"
The following 110 pages are in this category, out of 110 total.
- 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)