Let R be a commutative ring and let a R. Show that I a = {x

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Let R be a commutative ring and let a ∈ R. Show that I_a = {x ∈ R | ax = 0} is an ideal of R.

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Jan 05, 2023 05:26 AM

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Let R be a commutative ring and let a R. Show that I a = {x

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Let x y I a so ax ay 0 Then ax y ax ay 0 0 0 so x y I a Also axy axy 0y 0 so xy I a ...View the full answer

A First Course In Abstract Algebra

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