13-XX |
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Commutative algebra |
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13Dxx |
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Homological methods in commutative ring theory {For noncommutative rings, see 16Exx; for general categories, see 18Gxx} |
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13D02 |
Syzygies, resolutions, complexes and commutative rings |
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13D03 |
(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) |
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13D05 |
Homological dimension and commutative rings |
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13D07 |
Homological functors on modules of commutative rings (Tor, Ext, etc.) |
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13D09 |
Derived categories and commutative rings |
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13D10 |
Deformations and infinitesimal methods in commutative ring theory [See also 14B10, 14B12, 14D15, 32Gxx] |
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13D15 |
Grothendieck groups, $K$-theory and commutative rings [See also 14C35, 18F30, 19Axx, 19D50] |
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13D22 |
Homological conjectures (intersection theorems) in commutative ring theory |
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13D30 |
Torsion theory for commutative rings [See also 13C12, 18E40] |
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13D40 |
Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series |
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13D45 |
Local cohomology and commutative rings [See also 14B15] |
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13D99 |
None of the above, but in this section |