Which one of the following is true? In the ring Zp, if x = x then x = 0 or x = 1 In the ring Z6, 4 does not divide 2 O In the ring Zg, if xy xz and x #0 then y = z

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.6: Matrices
Problem 5TFE
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Which one of the following is true?
In the ring Zp, if x = x then x = 0 or x = 1
In the ring Z6, 4 does not divide 2 O
In the ring Zg, if xy xz and x #0 then y= z
In the ring Z6, if x = x then x =
O or x = 1
Transcribed Image Text:Which one of the following is true? In the ring Zp, if x = x then x = 0 or x = 1 In the ring Z6, 4 does not divide 2 O In the ring Zg, if xy xz and x #0 then y= z In the ring Z6, if x = x then x = O or x = 1
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