2. Let S = {Canada, France, India, Japan, Norway, Philippines, USA} and II(S) = {{Canada, USA), {France, Norway}, {India, Japan, Philippines}}. Determine the equiva- lence relation p rising from the partition. 3. Let Ny = {1, 2, 3, ., 18, 19, 20}. Define the relation p on N20 as zpy iff rly. a. Show that (N20-) is a poset. b. Determine three chains that are contained in (N-).
2. Let S = {Canada, France, India, Japan, Norway, Philippines, USA} and II(S) = {{Canada, USA), {France, Norway}, {India, Japan, Philippines}}. Determine the equiva- lence relation p rising from the partition. 3. Let Ny = {1, 2, 3, ., 18, 19, 20}. Define the relation p on N20 as zpy iff rly. a. Show that (N20-) is a poset. b. Determine three chains that are contained in (N-).
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 17E: In each of the following parts, a relation R is defined on the power set (A) of the nonempty set A....
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