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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 2, Pages 413-415
doi:10.1155/S0161171297000562

A note on semiprime rings with derivation

Motoshi Hongan

Tsuyama College of Technology Numa, Tsuyama, Okayama 708, Japan

Abstract

Let R be a 2-torsion free semiprime ring, I a nonzero ideal of R, Z the center of R and D:R→R a derivation. If d[x,y]+[x,y]∈Z or d[x,y]−[x,y]∈Z for all x, y∈I, then R is commutative.