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Mathematical Sciences Classification System

18Gxx - Homological algebra
[See also 13Dxx, 16Exx, 20Jxx, 55Nxx, 55Uxx, 57Txx]

• 18G05
  Projectives and injectives [See also 13C10, 13C11, 16D40, 16D50]
• 2
  18G10
  Resolutions; derived functors [See also 13D02, 16E05, 18E25]
• 1
  18G15
  Ext and Tor, generalizations, Künneth formula [See also 55U25]
• 18G20
  Homological dimension [See also 13D05, 16E10]
• 1
  18G25
  Relative homological algebra, projective classes
• 2
  18G30
  Simplicial sets, simplicial objects (in a category) [See also 55U10]
• 18G35
  Chain complexes [See also 18E30, 55U15]
• 3
  18G40
  Spectral sequences, hypercohomology [See also 55Txx]
• 1
  18G50
  Nonabelian homological algebra
• 11
  18G55
  Homotopical algebra
• 4
  18G60
  Other (co)homology theories [See also 19D55, 46L80, 58J20, 58J22]
• 18G99
  None of the above, but in this section