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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