Q5:(A) Let R=(Z12 ,+12, 12 ). Finda) Maximal ideals of Rhas the same identity of R? Explain your answer.b) Is (Z12, +12) a simple group?c) Is every subring of R

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Answered: Q5:(A) Let R=(Z12 ,+12, -12 ). Find a)…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.1: Ideals And Quotient Rings

Problem 14E: 14. Let be an ideal in a ring with unity . Prove that if then .

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Q5:(A) Let R=(Z12 ,+12, -12 ). Find a) Maximal ideals of R b) Is (Z12, +12) a simple group? c) Is every subring of R has the same identity of R? Explain your answer.