hw1 - n(1 and ab = ab)mod n(2 where the addition and...

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HW1 Section 1.2: 12, 13, 21 Section 1.3: 11, 19, 23, 24 Section 1.4: 13, 15 Chapter 3 in the back of the book, about induction: 3.11 Another problem: Let Z n denote the set { 0 , 1 , ..., n - 1 } . For a, b Z n , define a + b = ( a + b )mod
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Unformatted text preview: n (1) and ab = ( ab )mod n, (2) where the addition and multiplication on the right sides are the usual operations in Z . Prove Z 5 is a field and prove Z 4 is not. 1...
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