List of homological algebra topics
This is a list of homological algebra topics, by Wikipedia page.
Basic techniques
- Cokernel
- Exact sequence
- Chain complex
- Differential module
- Five lemma
- Short five lemma
- Snake lemma
- Nine lemma
- Extension (algebra)
- Projective module
- Injective module
- Projective resolution
- Injective resolution
- Koszul complex
- Exact functor
- Derived functor
- Ext functor
- Tor functor
- Filtration (abstract algebra)
- Spectral sequence
- Abelian category
- Triangulated category
- Derived category
Applications
- Group cohomology
- Galois cohomology
- Lie algebra cohomology
- Sheaf cohomology
- Whitehead problem
- Homological conjectures in commutative algebra
gollark: I do also have a CB aeon around now.
gollark: `p5dS5` so not very cool.
gollark: I was talking about the copper.
gollark: ... do you want a cheese for it?
gollark: You're lucky. I never manage to get those things.
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.