3. Let X be a set and S and R equivalence relations on X. Prove or give a concrete counter example to the following assertions: (a) SnR is an equivalence relation on x. (b) There is a smallest equivalence relation T that contains SUR.
3. Let X be a set and S and R equivalence relations on X. Prove or give a concrete counter example to the following assertions: (a) SnR is an equivalence relation on x. (b) There is a smallest equivalence relation T that contains SUR.
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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