5. Let X and Y be sets and let f: X→Y be onto. For all be Y, let As = f-¹({b}). (a) Prove that P = {A, be Y} is a partition of X. (b) Find the equivalence relation associated with the partition P.
5. Let X and Y be sets and let f: X→Y be onto. For all be Y, let As = f-¹({b}). (a) Prove that P = {A, be Y} is a partition of X. (b) Find the equivalence relation associated with the partition P.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 30E: Suppose thatis an onto mapping from to. Prove that if ℒ, is a partition of, then ℒ, is a partition...
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