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A REMARK ON GENERALIZED DERIVATIONS IN RINGS AND ALGEBRAS

  • Received : 2017.12.30
  • Accepted : 2018.07.05
  • Published : 2018.08.31

Abstract

In the present paper, we investigate the action of generalized derivation G associated with a derivation g in a (semi-) prime ring R satisfying $(G([x,y])-[G(x),y])^n=0$ for all x, $y{\in}I$, a nonzero ideal of R, where n is a fixed positive integer. Moreover, we also examine the above identity in Banach algebras.

Keywords

References

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