Mathematical Sciences Classification System

13Bxx - Ring extensions and related topics

  • 1
    13B02
    Extension theory
  • 2
    13B05
    Galois theory
  • 13B10
    Morphisms
  • 13B21
    Integral dependence; going up, going down
  • 1
    13B22
    Integral closure of rings and ideals [See also 13A35]; integrally closed rings, related rings (Japanese, etc.)
  • 13B24
    Going up; going down; going between
  • 5
    13B25
    Polynomials over commutative rings [See also 11C08, 11T06, 13F20, 13M10]
  • 13B30
    Rings of fractions and localization [See also 16S85]
  • 13B35
    Completion [See also 13J10]
  • 13B40
    Étale and flat extensions; Henselization; Artin approximation [See also 13J15, 14B12, 14B25]
  • 13B99
    None of the above, but in this section

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