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IDENTITIES WITH ADDITIVE MAPPINGS IN SEMIPRIME RINGS

  • Received : 2013.02.12
  • Published : 2014.01.31
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Abstract

The aim of this paper is to prove the next result. Let n > 1 be an integer and let R be a n!-torsion free semiprime ring. Suppose that f : R ${\rightarrow}$ R is an additive mapping satisfying the relation [f(x), $x^n$] = 0 for all $x{\in}R$. Then f is commuting on R.

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References

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