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

There are 3 subcategories to this category.

H

• Homology theory

K

• K-theory

S

• Sheaf theory

Articles in category "Homological algebra"

There are 42 articles in this category.

Abelian category Algebraic K-theory C Chain complex Cohomology Commutative diagram Cyclic homology D Derived category Derived functor Diagram chasing E Étale cohomology Exact functor Exact sequence Ext functor F Five lemma

F cont. Flat module G Galois cohomology Gerbe Gluing axiom Grothendieck group Group cohomology H Hilbert's syzygy theorem Homological algebra Homological conjectures in commutative algebra I Injective module K Koszul complex L List of homological algebra topics M Mitchell's embedding theorem Motive (algebraic geometry) N Nine lemma

P Projective module S Schur multiplier Severi-Brauer variety Sheaf cohomology Short five lemma Simplicial category Snake lemma Spectral sequence Splitting lemma T Tor functor Triangulated category U Universal coefficient theorem W Weil conjectures