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Introduction. Let J be a finite-dimensional semisimple Jordan algebra over a field of characteristic zero, and D a derivation of J into a module M. Jacobson has shown, in , that D is inner in the sense that there exist elements z t in J, m % in M such that for all x in J,doi:10.2140/pjm.1959.9.495 fatcat:7g6b4lxoqfdlleqva2xlempb7a