Course 311: Abstract Algebra Academic year 2007-08 Chapter 2: Rings and Polynomials
نویسندگان
چکیده
2 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
منابع مشابه
Course 311: Michaelmas Term 2005 Part III: Topics in Commutative Algebra
3 Topics in Commutative Algebra 2 3.1 Rings and Fields . . . . . . . . . . . . . . . . . . . . . . . . . 2 3.2 Ideals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 3.3 Quotient Rings and Homomorphisms . . . . . . . . . . . . . . 5 3.4 The Characteristic of a Ring . . . . . . . . . . . . . . . . . . . 7 3.5 Polynomial Rings in Several Variables . . . . . . . . . . . . . . 7 3.6...
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