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  • 13-XX Commutative algebra
  • 13Dxx Homological methods
  • 13D40 Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series

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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Typical sheaves of generalized CM-Modules.

Markus Brodmann (1992)

Manuscripta mathematica

Une majoration de la fonction de Hilbert et ses conséquences pour l'interpolation algébrique

Marc Chardin (1989)

Bulletin de la Société Mathématique de France

Матричные инварианты над бесконечным полем конечной характеристики

А.Н. Зубков (1993)

Sibirskij matematiceskij zurnal

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