Let D be a mapping from an alternative ring R into itself satisfying D(a · ba) = D(a) · ba+ a · D(b)a +a · bD(a) for all a, b ∈ R. Under some conditions on R, we show that D is additive.
Referencias bibliográficas
B. L. M. Ferreira and J. C. M. Ferreira, Additivity of n-Multiplicative Maps on Alternative Rings, Communications In Algebra 44, pp. 1557-1568,...
B. L. M. Ferreira, J. C. M. Ferreira and H. Guzzo Jr., Jordan Maps on Alternative Algebras, JP Journal of Algebra, Number Theory and Applications...