Determine whether or not the following relations are equivalence relations on the given set. If the relation is an equivalence relation, describe the partition given by it. If the relation is not an equivalence relation, state why it fails to be one. (3) m ∼ n in Z if m = n( mod 2)
Determine whether or not the following relations are equivalence relations on the given set. If the relation is an equivalence relation, describe the partition given by it. If the relation is not an equivalence relation, state why it fails to be one. (3) m ∼ n in Z if m = n( mod 2)
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 5TFE: True or False
Label each of the following statements as either true or false.
Let be an equivalence...
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Determine whether or not the following relations are equivalence relations
on the given set. If the relation is an equivalence relation, describe the partition given by it. If
the relation is not an equivalence relation, state why it fails to be one.
(3) m ∼ n in Z if m = n( mod 2)
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