Abstract
Let R be a ring, and S a non-empty subset of R. Suppose that R admits mappings F and G such that [F(x), G(y)] = [x,y] for all x, y ∈ S. In the present paper, we investigate commutativity of the ring R, when the mapping G is assumed to be a derivation or an endomorphism of R.
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Deng, Q., Ashraf, M. On strong commutativity preserving mappings. Results. Math. 30, 259–263 (1996). https://doi.org/10.1007/BF03322194
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DOI: https://doi.org/10.1007/BF03322194