Abstract
Let R be a ring and d : R → R a derivation of R. In the present paper we investigate commutativity of R satisfying any one of the properties (i)d([x,y]) = [x,y], (ii)d(x o y) = xoy, (iii)d(x) o d(y) = 0, or (iv)d(x) o d(y) = x o y, for all x, y in some apropriate subset of R.
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Ashraf, M., Rehman, Nu. On Commutativity of Rings With Derivations. Results. Math. 42, 3–8 (2002). https://doi.org/10.1007/BF03323547
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DOI: https://doi.org/10.1007/BF03323547