Mathematical Sciences Classification System
13Bxx - Ring extensions and related topics
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13B02Extension theory
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13B05Galois theory
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13B10Morphisms
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13B21Integral dependence; going up, going down
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13B22Integral closure of rings and ideals [See also 13A35]; integrally closed rings, related rings (Japanese, etc.)
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13B24Going up; going down; going between
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13B25
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13B30Rings of fractions and localization [See also 16S85]
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13B35Completion [See also 13J10]
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13B40
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13B99None of the above, but in this section