(b) Let I, J be ideals (two-sided) of a ring R and check as to whether In J is an ideal (two-sided) of R or not

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...
icon
Related questions
Question

Q4b

Kindly answer correctly. Please show the necessary steps.

(b) Let I, J be ideals (two-sided) of a ring R and check as to whether In J is an ideal (two-sided) of
R or not
[Hint: first check as to whether In J is a subring of R or not]
Transcribed Image Text:(b) Let I, J be ideals (two-sided) of a ring R and check as to whether In J is an ideal (two-sided) of R or not [Hint: first check as to whether In J is a subring of R or not]
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer