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Posted on: Thursday, February 04, 2010 6:59 PM
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Subject: Math Galois Theory
| Course 311: Hilary Term 2000 Part III: Introduction to Galois Theory D. R. Wilkins Contents 3 Introduction to Galois Theory 3.1 Rings and Fields . . . . . . . . . . . . . . . . . . . . 3.2 Ideals . . . . . . . . . . . . . . . . . . . . . . . . . . 3.3 Quotient Rings and Homomorphisms . . . . . . . . . 3.4 The Characteristic of a Ring . . . . . . . . . . . . . . 3.5 Polynomial Rings . . . . . . . . . . . . . . . . . . . . 3.6 Gauss’s Lemma . . . . . . . . . . . . . . . . . . . . . 3.7 Eisenstein’s Irreducibility Criterion . . . . . . . . . . 3.8 Field Extensions and the Tower Law . . . . . . . |
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