If I is an ideal in a ring R, let R I r R xr I for every x R Prove that R I is an ideal of R which contains I ...

To prove that R I is an ideal of R we need to show that it is a subgroup of the additive group of R ...

If I is an ideal in a ring R, let [R: I] = {r R|xr

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If I is an ideal in a ring R, let [R: I] = {r ϵ R|xr ϵ I for every x ϵ R}. Prove that [R : I] is an ideal of R which contains I.

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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 an ideal in a ring R, let [R: I] = {r R|xr

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Algebra Graduate Texts In Mathematics 73

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