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Bergen et al. [Bergen, J., Herstein, I. N., Lanski, C. (1983). Derivations with invertible values. Canad. J. Math. 35:300–310] determined the structure of a ring with invertible derivations. We generalize their results to invertible generalized derivations.
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The authors were partially supported by the Grant-in-Aid for Scientific Research, Japan Society for the Promotion of Science.
#Communicated by M. Ferrero.
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