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On Prime and Semiprime Rings with Derivations

Algebra Colloquium, 2006
Let R be a ring and S a nonempty subset of R. A mapping f: R → R is called commuting on S if [f(x),x] = 0 for all x ∈ S. In this paper, firstly, we generalize the well-known result of Posner related to commuting derivations on prime rings. Secondly, we show that if R is a semiprime ring and I is a nonzero ideal of R, then a derivation d of R is ...
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Hyperplanes and prime rings

Archiv der Mathematik, 1960
Edward C. Posner, Hans Schneider
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PIECEWISE PRIME RINGS

Mathematics and Mathematics Education, 2002
Jae Keol Park, Gary F. Birkenmeier
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On prime modules and rings

Communications in Algebra, 1983
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