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Abstract Algebra: Rings and polynomials
Rings and Polynomials 30
2.1 Rings, Integral Domains and Fields . . . . . . . . . . . . . . . 30
2.2 Ideals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
2.3 Quotient Rings and Homomorphisms . . . . . . . . . . . . . . 33
2.4 The Characteristic of a Ring . . . . . . . . . . . . . . . . . . . 35
2.5 Polynomial Rings . . . . . . . . . . . . . . . . . . . . . . . . . 35
2.6 Gauss’s Lemma . . . . . . . . . . . . . . . . . . . . . . . . . . 38
2.7 Eisenstein’s Irreducibility Criterion . . . . . . . . . . . . . . . 39
2.1 Rings, Integral Domains and Fields . . . . . . . . . . . . . . . 30
2.2 Ideals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
2.3 Quotient Rings and Homomorphisms . . . . . . . . . . . . . . 33
2.4 The Characteristic of a Ring . . . . . . . . . . . . . . . . . . . 35
2.5 Polynomial Rings . . . . . . . . . . . . . . . . . . . . . . . . . 35
2.6 Gauss’s Lemma . . . . . . . . . . . . . . . . . . . . . . . . . . 38
2.7 Eisenstein’s Irreducibility Criterion . . . . . . . . . . . . . . . 39
15 pages, Kindle Edition
Published January 28, 2018
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