The equivalence relationx = y(mod4)is defined on the set Z of integers.Determine the quotient spaceZ/ = (mod4)and a complete set of representatives (of the equivalence classes).

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Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 3E: a. Let R be the equivalence relation defined on Z in Example 2, and write out the elements of the...

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The equivalence relation a = y(mod4) is defined on the set Z of integers. Determine the quotient space Z/= (mod4) and a complete set of representatives (of the equivalence classes).