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New posts in homological-algebra
Is every additive monofunctor between abelian categories left exact?
category-theory
homological-algebra
abelian-categories
Colimits in that category of short exact sequences of abelian groups
category-theory
homological-algebra
Reference Request for Orbits of Group Representation
group-theory
representation-theory
homological-algebra
group-actions
characters
Are those two ways to relate Extensions to Ext equivalent?
modules
homological-algebra
derived-functors
Homological methods in algebraic geometry
algebraic-geometry
reference-request
category-theory
homological-algebra
derived-functors
Rank-nullity theorem for free $\mathbb Z$-modules
linear-algebra
modules
homological-algebra
abelian-groups
Homology of wedge sum is the direct sum of homologies
algebraic-topology
homological-algebra
Who was Hermann Künneth?
algebraic-topology
math-history
homological-algebra
mathematicians
cones in the derived category
algebraic-geometry
category-theory
homological-algebra
triangulated-categories
What chain complex is denoted by a single $R$?
homological-algebra
Distinguished triangle induced by short exact sequence
category-theory
homological-algebra
derived-categories
Intuition behind homology with general coefficients
algebraic-topology
intuition
homological-algebra
Characterization of short exact sequences
abstract-algebra
modules
homological-algebra
exact-sequence
Short exact sequence of exact chain complexes
homological-algebra
diagram-chasing
Does taking the direct limit of chain complexes commute with taking homology?
category-theory
homological-algebra
homology-cohomology
Short Exact Sequences & Rank Nullity
abstract-algebra
group-theory
modules
homological-algebra
Does trivial cohomology imply trivial homology? Does $\operatorname{Hom}(A,\mathbb Z) = \operatorname{Ext}^1(A, \mathbb Z) = 0$ imply $A = 0$?
algebraic-topology
homological-algebra
homology-cohomology
A problem about an $R$-module that is both injective and projective.
abstract-algebra
modules
homological-algebra
projective-module
injective-module
Reference for spectral sequences
reference-request
algebraic-topology
homological-algebra
operator-algebras
What are $E_\infty$-rings?
reference-request
homological-algebra
homotopy-theory
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