2. Let R = {(1,b) ER X R: there is an integer k such that a - b = 2kn}. Prove that R is anequivalence relation on R.

us the definition of reflexive , symmetric and transitive property of relation to prove it is…

Answered: 2. Let R = {(1, b) ERX R: there is an…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.3: The Characteristic Of A Ring

Problem 3E: 3. Let be an integral domain with positive characteristic. Prove that all nonzero elements of...

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2. Let R = {(1, b) ERX R: there is an integer k such that a – b = 2kn}. Prove that R is an equivalence relation on R.