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

  • 16E05 Syzygies, resolutions, complexes
  • 16E10 Homological dimension
  • 16E20 Grothendieck groups, $K$-theory, etc. [See also 18F30, 19Axx, 19D50]
  • 16E30 Homological functors on modules (Tor, Ext, etc.)
  • 16E35 Derived categories
  • 16E40 (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.)
  • 16E45 Differential graded algebras and applications
  • 16E50 von Neumann regular rings and generalizations
  • 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