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If A is an ideal of a ring R and 1 belongs to A, prove

Chapter 14, Problem 15E

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QUESTION:

If A is an ideal of a ring R and 1 belongs to A, prove that A = R. (This exercise is referred to in this chapter.)

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QUESTION:

If A is an ideal of a ring R and 1 belongs to A, prove that A = R. (This exercise is referred to in this chapter.)

ANSWER:

Step 1 of 3

We are given that

 is an ideal of a ring  and  belongs to .

We have to prove that .

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