Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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COMMUTATIVITY OF JORDAN IDEALS IN 3-PRIME NEAR-RINGS WITH DERIVATIONS

  • Boua, Abdelkarim (Department of Mathematics Physics and Computer Science Sidi Mohammed Ben Abdellah University)
  • Received : 2017.01.05
  • Accepted : 2017.10.13
  • Published : 2018.01.31
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Abstract

We prove some theorems showing that a right Jordan ideal or a left Jordan ideal of a 3-prime near-ring must be commutative if it admits a nonzero derivation acting as a homomorphism or an antihomomorphism. Moreover, we give examples proving necessity of the conditions given.

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References

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