Page 6 - DMTH403_ABSTRACT_ALGEBRA

Unit 16: Ideals 158
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Unit 17: Ring Homomorphisms 168
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Unit 18: Integral Domains 180
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Unit 19: The Field of Quotient Euclidean Domains 188
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Unit 20: Principal Ideal Domains 196
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Unit 21: Unique Factorization Domains 207
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Unit 22: Polynomial Rings 213
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Unit 23: Division of Algorithm 222
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Unit 24: Irreducibility and Field Extensions 227
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Unit 25: Roots of a Polynomial 237
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Unit 26: Splitting Fields, Existence and Uniqueness 244
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Unit 27: Separable Extensions 249
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Unit 28: Galois Theory 263
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Unit 29: Computing Galois Groups 270
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Unit 30: Invariant Subfield 274
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Unit 31: The Galois Group of a Polynomial 279
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