Mathematical Sciences Classification System

16Exx - Homological methods
{For commutative rings, see 13Dxx; for general categories, see 18Gxx}

  • 5
    16E05
    Syzygies, resolutions, complexes
  • 1
    16E10
    Homological dimension
  • 4
    16E20
    Grothendieck groups, $K$-theory, etc. [See also 18F30, 19Axx, 19D50]
  • 16E30
    Homological functors on modules (Tor, Ext, etc.)
  • 16E35
    Derived categories
  • 4
    16E40
    (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.)
  • 3
    16E45
    Differential graded algebras and applications
  • 3
    16E50
    von Neumann regular rings and generalizations
  • 2
    16E60
    Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc.
  • 16E65
    Homological conditions on rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.)
  • 16E99
    None of the above, but in this section

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