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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