Remarks on derivations on semiprime rings

Mohamad Nagy Daif and Howard E. Bell

International Journal of Mathematics and Mathematical Sciences, 1992, vol. 15, 1-2

Abstract:

We prove that a semiprime ring R must be commutative if it admits a derivation d such that (i) x y + d ( x y ) = y x + d ( y x ) for all x , y in R , or (ii) x y − d ( x y ) = y x − d ( y x ) for all x , y in R . In the event that R is prime, (i) or (ii) need only be assumed for all x , y in some nonzero ideal of R .

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:863506

DOI: 10.1155/S0161171292000255

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