User:Steenis52/Books/Homological Algebra
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Homological Algebra[edit]
- Homological algebra
- Abelian group
- Module (mathematics)
- Tensor product
- Tensor algebra
- Graded ring
- Direct sum of modules
- Direct product
- Homomorphism
- Chain complex
- Homology (mathematics)
- Cohomology
- Group cohomology
- Symmetric monoidal category
- Braided monoidal category
- Exact sequence
- Five lemma
- Short five lemma
- Nine lemma
- Snake lemma
- Projective module
- Injective module
- Flat module
- Resolution (algebra)
- Homological dimension
- Global dimension
- Weak dimension
- Ext functor
- Tor functor
- Derived functor
- Exact functor
- Category (mathematics)
- Endomorphism
- Epimorphism
- Monomorphism
- Section (category theory)
- Isomorphism
- Automorphism
- Dual (category theory)
- Opposite category
- Universal property
- Pullback (category theory)
- Pushout (category theory)
- Functor
- Hom functor
- Full and faithful functors
- Natural transformation
- Adjoint functors
- Tensor-hom adjunction
- Concrete category
- Yoneda lemma
- Category of abelian groups
- Zero morphism
- Initial and terminal objects
- Monoidal category
- Enriched category
- Preadditive category
- Product (category theory)
- Coproduct
- Biproduct
- Additive category
- Pre-abelian category
- Subobject
- Well-behaved
- Abelian category
- Kernel (category theory)
- Cokernel
- Normal morphism
- Filtered category
- Complete category
- Regular category
- Exact category
- Mitchell's embedding theorem
- Quasi-isomorphism
- Projective object
- Injective object
- Derived category
- Triangulated category
- Spectral sequence
- Homotopy category of chain complexes