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Sudhanshu Ranjan posted an Question
August 25, 2020 • 06:18 am 30 points
  • CSIR NET
  • Mathematical Sciences

Is it true that the set of nilpotent elements of a ring r forms an ideal of r?

Is it true that the set of nilpotent elements of a ring R forms an ideal of R?

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  • Shashi ranjan sinha best-answer

    No, it is not necessarily true. In case of non commutative rings, it doesn't form an ideal.

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