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13Dxx - Homological methods

13D02 - Syzygies and resolutions
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.)
13D10 - Deformations and infinitesimal methods
13D15 - Grothendieck groups, $K$-theory
13D22 - Homological conjectures (intersection theorems)
13D25 - Complexes
13D30 - Torsion theory
13D40 - Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series
13D45 - Local cohomology
13D99 - Miscellaneous
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