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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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16-XX Associative rings and algebras {For the commutative case, see 13-XX} → ZMATH
16Exx Homological methods {For commutative rings, see 13Dxx; for general categories, see 18Gxx} → ZMATH
16E05 Syzygies, resolutions, complexes → ZMATH
16E10 Homological dimension → ZMATH
16E20 Grothendieck groups, $K$-theory, etc. [See also 18F30, 19Axx, 19D50] → ZMATH
16E30 Homological functors on modules (Tor, Ext, etc.) → ZMATH
16E40 (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.) → ZMATH
16E45 Differential graded algebras and applications → ZMATH
16E50 von Neumann regular rings and generalizations → ZMATH
16E60 Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. → ZMATH
16E65 Homological conditions on rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) → ZMATH
16E99 None of the above, but in this section → ZMATH
Abel prize 2010
I. M. Gelfand 1913-2009

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