Answered: 12. If A and B are ideals of a ring,…

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12. If A and B are ideals of a ring, show that the product of A and B, AB + a,b, la, E A, b, E B, na positive integer}, = {a,b, + a,b, + · · · is an ideal.

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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