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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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18-XX Category theory; homological algebra {For commutative rings see 13Dxx, for associative rings 16Exx, for groups 20Jxx, for topological groups and related structures 57Txx; see also 55Nxx and 55Uxx for algebraic topology} → ZMATH
18Gxx Homological algebra [See also 13Dxx, 16Exx, 20Jxx, 55Nxx, 55Uxx, 57Txx] → ZMATH
18G05 Projectives and injectives [See also 13C10, 13C11, 16D40, 16D50] → ZMATH
18G10 Resolutions; derived functors [See also 13D02, 16E05, 18E25] → ZMATH
18G15 Ext and Tor, generalizations, Künneth formula [See also 55U25] → ZMATH
18G20 Homological dimension [See also 13D05, 16E10] → ZMATH
18G25 Relative homological algebra, projective classes → ZMATH
18G30 Simplicial sets, simplicial objects (in a category) [See also 55U10] → ZMATH
18G35 Chain complexes [See also 18E30, 55U15] → ZMATH
18G40 Spectral sequences, hypercohomology [See also 55Txx] → ZMATH
18G50 Nonabelian homological algebra → ZMATH
18G55 Homotopical algebra → ZMATH
18G60 Other (co)homology theories [See also 19D55, 46L80, 58J20, 58J22] → ZMATH
18G99 None of the above, but in this section → ZMATH
 
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