Newbetuts
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New posts in abelian-categories
Adjunction in Abelian Categories
category-theory
abelian-categories
adjoint-functors
functors
The projective model structure on chain complexes
reference-request
category-theory
homological-algebra
abelian-categories
model-categories
The homotopy category of complexes
category-theory
examples-counterexamples
homological-algebra
homotopy-theory
abelian-categories
An explicit imbedding of $(R\mathbf{-Mod})^{op}$ into $S\mathbf{-Mod}$
category-theory
modules
homological-algebra
abelian-categories
Example of epimorphisms such that the product is not an epimorphism in the category of sheaves
sheaf-theory
abelian-categories
Homological algebra using nonabelian groups
algebraic-topology
homology-cohomology
homological-algebra
abelian-categories
Can the category of chain complexes be realized as a functor category?
category-theory
homological-algebra
abelian-categories
Understanding equivalence of category of group objects in the category of sets with category of Groups
group-theory
category-theory
group-homomorphism
abelian-categories
On equivalent definitions of Ext
category-theory
homological-algebra
abelian-categories
What is wrong with the following argument about splitting an exact sequence of abelian groups?
algebraic-topology
abelian-groups
exact-sequence
abelian-categories
showing exact functors preserve exact sequences (abelian categories, additive functors, and kernels)
category-theory
homological-algebra
abelian-categories
Why can we use flabby sheaves to define cohomology?
algebraic-geometry
sheaf-theory
abelian-categories
sheaf-cohomology
If a functor between categories of modules preserves injectivity and surjectivity, must it be exact?
abstract-algebra
category-theory
abelian-categories
Question about exact sequence of modules
abstract-algebra
commutative-algebra
exact-sequence
abelian-categories
Is every additive monofunctor between abelian categories left exact?
category-theory
homological-algebra
abelian-categories
Category of quasicoherent sheaves not abelian
algebraic-geometry
sheaf-theory
abelian-categories
coherent-sheaves
quasicoherent-sheaves
About flatness of modules / algebras
abstract-algebra
commutative-algebra
modules
abelian-categories
flatness
Example of a non-splitting exact sequence $0 → M → M\oplus N → N → 0$
abstract-algebra
modules
examples-counterexamples
exact-sequence
abelian-categories
Abelian categories and axiom (AB5)
category-theory
abelian-categories
Meaning of "efface" in "effaceable functor" and "injective effacement"
terminology
homology-cohomology
abelian-categories
derived-functors
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