| 16-XX |
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Associative rings and algebras For the commutative case, see 13-XX |
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16Exx |
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Homological methods For commutative rings, see 13Dxx; for general categories, see 18Gxx |
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16E05 |
Syzygies, resolutions, complexes |
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16E10 |
Homological dimension |
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16E20 |
Grothendieck groups, $K$-theory, etc. [See also 18F30, 19Axx, 19D50] |
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16E30 |
Homological functors on modules (Tor, Ext, etc.) |
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16E35 |
Derived categories |
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16E40 |
(Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.) |
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16E45 |
Differential graded algebras and applications |
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16E50 |
von Neumann regular rings and generalizations |
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16E60 |
Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. |
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16E65 |
Homological conditions on rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) |
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16E99 |
None of the above, but in this section |