roblem 4. Let w, y, z E Z[i] such that wyz, and let d be a gcd of w and z, show that wyd.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.1: Postulates For The Integers (optional)
Problem 26E: Prove that the cancellation law for multiplication holds in Z. That is, if xy=xz and x0, then y=z.
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Problem 4. Let w, y, z E Z[i] such that w|yz, and let d be a gcd of w and z, show that w]yd.
Transcribed Image Text:Problem 4. Let w, y, z E Z[i] such that w|yz, and let d be a gcd of w and z, show that w]yd.
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