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  • 13-XX Commutative algebra
  • 13Dxx Homological methods
  • 13D07 Homological functors on modules (Tor, Ext, etc.)

13Dxx Homological methods

  • 13D02 Syzygies, resolutions, complexes
  • 13D03 (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.)
  • 13D05 Homological dimension
  • 13D07 Homological functors on modules (Tor, Ext, etc.)
  • 13D09 Derived categories
  • 13D10 Deformations and infinitesimal methods
  • 13D15 Grothendieck groups, K -theory
  • 13D22 Homological conjectures (intersection theorems)
  • 13D30 Torsion theory
  • 13D40 Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series
  • 13D45 Local cohomology
  • 13D99 None of the above, but in this section
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