Trisha Shetty (Editor)

List of homological algebra topics

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This is a list of homological algebra topics, by Wikipedia page.

Contents

Basic techniques

  • Cokernel
  • Exact sequence
  • Chain complex
  • Differential module
  • Five lemma
  • Short five lemma
  • Snake lemma
  • Nine lemma
  • Extension (algebra)
  • Central extension
  • Splitting lemma
  • 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

    • References

    List of homological algebra topics Wikipedia
    (Text) CC BY-SA


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