13Dxx

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

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• 13D02 Syzygiesand, 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 [See also 14B10, 14B12, 14D15, 32Gxx]
• 13D15 Grothendieck groups, $K$-theory [See also 14C35, 18F30, 19Axx, 19D50]
• 13D22 Homological conjectures (intersection theorems)
• 13D25 Complexes
• 13D30 Torsion theory [See also 13C12, 18E40]
• 13D40 Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series
• 13D45 Local cohomology [See also 14B15]
• 13D99 None of the above, but in this section