Exercise 13.4. Let I and J be two ideals of a ring R. The product of I and J is defined byIJ :=Show that IJ is an ideal of R.nΣ aibi ar Є I, bi Є J, n ≤ N€ €

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Answered: Exercise 13.4. Let I and J be two…

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 4E: Exercises If and are two ideals of the ring , prove that is an ideal of .

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Exercise 13.4. Let I and J be two ideals of a ring R. The product of I and J is defined by IJ := Show that IJ is an ideal of R. n Σ aibi ar Є I, bi Є J, n ≤ N € €