Let A and B be ideals. Prove that A+ B = {a+B : a € A, B E B} isan ideal.

Let (R, +, ∘) is a ring and A and B are ideals of R.

Answered: Let A and B be ideals. Prove that A + B…

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 7E: Exercises Let be an ideal of a ring , and let be a subring of . Prove that is an ideal of

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Let A and B be ideals. Prove that A + B = {a+ ß: a E A, ß E B} is an ideal.