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)…

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.

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 15E: Let I be an ideal in a ring R with unity. Prove that if I contains an element a that has a...

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Question

Q5:(A) Let R=(Z12 ,+12, 12 ). Find
a) Maximal ideals of R
has 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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