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Math Notes

  • Algebraic Geometry
  • Algebra
    • Group Theory
    • Ring Theory
    • Galois Theory
      • Algebraic Elements
      • Field Extensions
      • Algebraic Closure
      • Finite Fields
      • Field Automorphisms
      • Splitting Fields
      • Isomorphism Extension Theorem
      • Normal Extensions
      • Separable Polynomials
      • Separable Extensions and Perfect Fields
      • Galois Extensions
      • Galois Correspondence Theorem
      • Galois Group of Finite Fields
      • Cyclotomic Polynomials
      • Cyclotomic Extensions
      • Kummer's Theory
      • Solvability by Radicals
    • Commutative Algebra
    • Miscellaneous
    • Qualifying Exam Preparation
  • Linear Algebra
  • Number Theory
  • Probability

Kummer’s Theory