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