Samjhake
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MTH-FG · 4 pages

Field & Galois Theory

Field extensions, algebraic elements, splitting fields, and Galois correspondence — with Hinglish explanations.

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Contents

Pages

  1. 01

    Field Extensions I

    Fields · Field Homomorphisms and Isomorphisms · Extension of Fields

  2. 02

    Field Extensions II

    Generated Subfields · Degree of Field Extensions · Algebraic Elements and Algebraic Extensions

  3. 03

    Field Extensions III

    Compositum of Field Extensions · Automorphisms of Field Extensions

  4. 04

    Field Extensions IV

    Galois Extensions · Normal Extensions