Abstract
Let R be a ring with a subset S. A mapping of R into itself is called strong commutativity-preserving (scp) on S, if [f(x), f(y)] = [x, y] for all x, y ∈ S. The main purpose of this paper is to describe the structure of the generalized derivations which are scp on some ideals and right ideals of a prime ring, respectively. The semiprime case is also considered.
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The first author is supported in part by China NNSF (10726051) and Grant in-aid for Scientific Research from Department of Mathematics, Jilin University. The second author is supported by Grant in-aid for Scientific Research from Department of Mathematics, Jilin University
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Ma, J., Xu, X.W. & Niu, F.W. Strong commutativity-preserving generalized derivations on semiprime rings. Acta. Math. Sin.-English Ser. 24, 1835–1842 (2008). https://doi.org/10.1007/s10114-008-7445-0
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DOI: https://doi.org/10.1007/s10114-008-7445-0