1. List all the partitions of the set A = {a,b}. Compare your answer to the answer to Exercise 5 of Section 16.3. 2. List all the partitions of the set A = {a,b,c}. Compare your answer to the answer to Exercise 6 of Section 16.3. 3. Describe the partition of Z resulting from the equivalence relation = (mod 4).
1. List all the partitions of the set A = {a,b}. Compare your answer to the answer to Exercise 5 of Section 16.3. 2. List all the partitions of the set A = {a,b,c}. Compare your answer to the answer to Exercise 6 of Section 16.3. 3. Describe the partition of Z resulting from the equivalence relation = (mod 4).
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 11E: Let be a relation defined on the set of all integers by if and only if sum of and is odd. Decide...
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