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Week
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Topics
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Study Metarials
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1
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Definition of Ring and Elementary Properties of Rings
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R1: Section 10.1
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2
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Some Important Rings
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R1: Section 10.2
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3
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Subring and Subfields
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R1: Section 11.1
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4
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Ideals and Quotient Rings
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R1: Section 11.2
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5
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Homomorphisms and Isomorphims
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R1: Section 11.3
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6
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Direct Sum of Rings
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R1: Section 13.1
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7
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Polynomial Rings
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R1: Section 14.1
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8
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Euclidean Domains
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R1: Section 15.1
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9
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Greatest Common Divisors
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R1: Section 15.2
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10
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Prime and Irreducible Elements
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R1: Section 15.3
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11
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Unique Factorization Domains
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R1: Section 16.1
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12
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Factorization of Polynomials over a UFD
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R1: Section 16.2
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13
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Ireducibility of Polinomials
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R1: Section 16.3
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14
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Maximal, Prime, and Primary Ideals
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R1: Section 17.1
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