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Elements Of Modern Algebra

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 28E

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Question

Suppose R and S are two equivalence relations on a set A. Prove that ROS
is also an equivalence relation. (For an example of this, look at Figure 11.2.
Observe that for the equivalence relations R2, R3 and R4, we have R2 R3 = R4.)

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