. The relation R on Z defined by a Rb if a? = b² (mod 4) is known to be an equivalence relation. Determine the distinct equivalence classes.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 10E: In Exercises , a relation is defined on the set of all integers. In each case, prove that is an...
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9.47. The relation R on Z defined by a R b if a² = b² (mod 4) is known to be an equivalence relation. Determine the distinct equivalence classes.
Transcribed Image Text:9.47. The relation R on Z defined by a R b if a² = b² (mod 4) is known to be an equivalence relation. Determine the distinct equivalence classes.
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