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Please note that in the second half of 2009, MSC2010 is deployed in the production of ZMATH and will become official standard in January 2010.

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13-XX Commutative rings and algebras → ZMATH
13Dxx Homological methods {For noncommutative rings, see 16Exx; for general categories, see 18Gxx} → ZMATH
13D02 Syzygies and resolutions → ZMATH
13D03 (Co)homology of commutative rings and algebras (e.g., Hochschild, AndrĂ©-Quillen, cyclic, dihedral, etc.) → ZMATH
13D05 Homological dimension → ZMATH
13D07 Homological functors on modules (Tor, Ext, etc.) → ZMATH
13D10 Deformations and infinitesimal methods [See also 14B10, 14B12, 14D15, 32Gxx] → ZMATH
13D15 Grothendieck groups, $K$-theory [See also 14C35, 18F30, 19Axx, 19D50] → ZMATH
13D22 Homological conjectures (intersection theorems) → ZMATH
13D25 Complexes → ZMATH
13D30 Torsion theory [See also 13C12, 18E40] → ZMATH
13D40 Hilbert-Samuel and Hilbert-Kunz functions; PoincarĂ© series → ZMATH
13D45 Local cohomology [See also 14B15] → ZMATH
13D99 None of the above, but in this section → ZMATH
Abel prize 2010
I. M. Gelfand 1913-2009

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