Linked from

The 18 pages that link to Homological algebra, each with the reason it gives.

• Category theoryRelated: Categories and functors clarify how homological constructions relate across settings.

• Alexander GrothendieckRelated: Grothendieck developed tools that made homological methods central to modern geometry.

• FunctorRelated: The need to compare algebraic constructions helped motivate the formal language of functors.

• Commutative algebraRelated: Homological methods analyze modules and resolve failures of exactness in ring-theoretic problems.

• Exact sequenceNarrower topic: Exact sequences are its basic language for relating kernels, quotients, and derived invariants.

• CategoryRelated: Its recurring constructions helped motivate a general theory of mathematical maps.

• Samuel EilenbergBroader topic: Eilenberg helped establish its foundational methods with Henri Cartan.

• Chain complexNarrower topic: Chain complexes are its central organizing objects.

• Jean-Pierre SerreNarrower topic: Serre’s spectral sequences and homological methods grew from this framework.

• Saunders Mac LaneRelated: Mac Lane helped shape its foundations and connect it with category theory.

• Abelian categoryNarrower topic: Abelian categories provide a general setting for its standard constructions.

• Henri CartanNarrower topic: Cartan’s work helped establish this framework as a language for topology and algebra.

• Snake lemmaNarrower topic: The Snake lemma is a basic theorem in this field.

• Five lemmaNarrower topic: The five lemma is a foundational diagram lemma in this field.

• Jean DieudonnéRelated: Its methods organize cohomological tools used in modern algebraic geometry.

• Nine lemmaNarrower topic: The Nine lemma is a basic diagram result within this broader subject.

• Eilenberg–Zilber theoremNarrower topic: The theorem is a foundational comparison result in this broader subject.

• Zig-zag lemmaNarrower topic: The lemma is a basic method for transferring exactness into homology.