Category:Homological algebra

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.

The main article for this category is Homological algebra.

Subcategories

There are 5 subcategories to this category.

D

• Duality theories

H

• Homology theory

K

• K-theory

S

• Sheaf theory
• Spectral sequences

Pages in category "Homological algebra"

There are 53 pages in this section of this category.

Homological algebra A Abelian category B Bockstein homomorphism C Chain complex Cohomology Commutative diagram Cyclic homology D De Rham-Weil theorem Derived category Derived functor Diagram chasing E Étale cohomology Exact functor Exact sequence Ext functor F Five lemma Flat module

G Galois cohomology Gerbe Gluing axiom Grothendieck group Group cohomology H Hilbert's syzygy theorem Homological conjectures in commutative algebra Horseshoe lemma I Injective dimension Injective module Injective object Injective sheaf Invariant basis number K Koszul complex L Lie algebra cohomology List of homological algebra topics Local cohomology M Mitchell's embedding theorem

M cont. Motive (algebraic geometry) N Nine lemma P Principal ideal theorem Projective module Projective object Q Quasi-isomorphism S Schur multiplier Severi-Brauer variety Sheaf cohomology Short five lemma Simplicial set Snake lemma Splitting lemma T Tensor product of modules Tor functor Triangulated category U Universal coefficient theorem W Weil conjectures