If I is a left ideal of R, then A(I) r R rx 0 for every x I is an ideal in R ...

Let R be a ring and I be a left ideal of R We need to show that AI is an ideal in R First ...

If I is a left ideal of R, then A(I) = {r R| rx = 0

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If I is a left ideal of R, then A(I) = {r ϵ R| rx = 0 for every x ϵ I} is an ideal in R.

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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Apr 15, 2023 03:51 AM

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If I is a left ideal of R, then A(I) = {r R| rx = 0

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Algebra Graduate Texts In Mathematics 73

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