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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
13-00 General reference works (handbooks, dictionaries, bibliographies, etc.) → ZMATH
13-01 Instructional exposition (textbooks, tutorial papers, etc.) → ZMATH
13-02 Research exposition (monographs, survey articles) → ZMATH
13-03 Historical (must also be assigned at least one classification number from Section 01) → ZMATH
13-04 Explicit machine computation and programs (not the theory of computation or programming) → ZMATH
13-06 Proceedings, conferences, collections, etc. → ZMATH
13Axx General commutative ring theory → ZMATH
13Bxx Ring extensions and related topics → ZMATH
13Cxx Theory of modules and ideals → ZMATH
13Dxx Homological methods {For noncommutative rings, see 16Exx; for general categories, see 18Gxx} → ZMATH
13Exx Chain conditions, finiteness conditions → ZMATH
13Fxx Arithmetic rings and other special rings → ZMATH
13G05 Integral domains → ZMATH
13Hxx Local rings and semilocal rings → ZMATH
13Jxx Topological rings and modules [See also 16W60, 16W80] → ZMATH
13K05 Witt vectors and related rings → ZMATH
13L05 Applications of logic to commutative algebra [See also 03Cxx, 03Hxx] → ZMATH
13Mxx Finite commutative rings {For number-theoretic aspects, see 11Txx} → ZMATH
13Nxx Differential algebra [See also 12H05, 14F10] → ZMATH
13Pxx Computational aspects of commutative algebra [See also 68W30] → ZMATH
Abel prize 2010
I. M. Gelfand 1913-2009

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