6. Consider the partition P = {{0}, {-1,1}, {-2,2}, {-3,3},{-4,4},...} of Z. Describe the equivalence relation whose equivalence classes are the elements of P.

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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6. Consider the partition P = {{0}, {-1,1}, {-2,2}, {-3,3}, {-4,4},...} of Z. Describe
the equivalence relation whose equivalence classes are the elements of P.
Transcribed Image Text:6. Consider the partition P = {{0}, {-1,1}, {-2,2}, {-3,3}, {-4,4},...} of Z. Describe the equivalence relation whose equivalence classes are the elements of P.
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