Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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JORDAN HIGHER LEFT DERIVATIONS AND COMMUTATIVITY IN PRIME RINGS

  • Received : 2010.08.24
  • Accepted : 2010.11.09
  • Published : 2010.12.30
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Abstract

Let R be a 2-torsionfree prime ring. Our goal in this note is to show that the existence of a nonzero Jordan higher left derivation on R implies R is commutative. This result is used to prove a noncommutative extension of the classical Singer-Wermer theorem in the sense of higher derivations.

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References

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