. Let R be the relation on Z→ Z such that ((a,b),(c,d)) eR = a+d =b+c. Show that R is an equivalence relation.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.3: Subgroups
Problem 23E: 23. Let be the equivalence relation on defined by if and only if there exists an element in ...
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Let R be the relation on Z→Z such that ((a,b),(c,d))eR a+d =b+c. Show that R is an
equivalence relation.
Transcribed Image Text:2. Let R be the relation on Z→Z such that ((a,b),(c,d))eR a+d =b+c. Show that R is an equivalence relation.
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