(4)Let K be integer ring module 12and let I=([4]) and J=([6]) be idealsof K. Then [2] belong to ...O I+JO I.JO I.J+1*

Given that, K=Z12 and ideals I and J are such that I=([4])=4Z12={0,4,8} J=([6])=6Z12={0,6} Now,…

Answered: (4)Let K be integer ring module 12 and…

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 8E: Exercises If and are two ideals of the ring , prove that the set is an ideal of that contains...

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(4)Let K be integer ring module 12 and let I=([4]) and J=([6]) be ideals of K. Then [2] belong to ... O I+J O I.J O I.J+1