Exercise 7.3.2. Let G be the set of subsets of the set {a,b, c}. (a) Does the set G with the operation U have the closure property? Justify your answer. (b) Does the set G with the operation U have an identity? If so, what is it? Which part of Proposition 7.2.3 enabled you to draw this conclusion? (c) Is the operation U defined on the set G associative? Which part of Proposition 7.2.3 enabled you to draw this conclusion?
Exercise 7.3.2. Let G be the set of subsets of the set {a,b, c}. (a) Does the set G with the operation U have the closure property? Justify your answer. (b) Does the set G with the operation U have an identity? If so, what is it? Which part of Proposition 7.2.3 enabled you to draw this conclusion? (c) Is the operation U defined on the set G associative? Which part of Proposition 7.2.3 enabled you to draw this conclusion?
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 22E
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