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Sudhanshu ranjan Asked a Question
August 25, 2020 12:48 ampts 30 pts
  • 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
    See the attachment
    • cropped4999456895020931323.jpg
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  • Shashi ranjan sinha thankyou
    No, it is not necessarily true. In case of non commutative rings, it doesn't form an ideal.
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