An element a of a ring R is nilpotent if a n = 0 for some n

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An element a of a ring R is nilpotent if aⁿ= 0 for some n ∈ Z⁺. Show that the collection of all nilpotent elements in a commutative ring R is an ideal, the nilradical 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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An element a of a ring R is nilpotent if a n = 0 for some n

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Let 0 be the collection of all nilpotent elements of R Let a b 0 Then t...View the full answer

A First Course In Abstract Algebra

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