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Higher derivations on Lie ideals of triangular algebras

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Abstract

Let T be a triangular algebra and let U be an admissible Lie ideal of T. We mainly consider the question whether each Jordan higher derivation of U into T is a higher derivation of U into T. We also give some characterizations for the Jordan triple higher derivations of U.

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Correspondence to D. Han.

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Original Russian Text Copyright © 2012 Han D.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 53, No. 6, pp. 1283–1291, November–December, 2012.

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Han, D. Higher derivations on Lie ideals of triangular algebras. Sib Math J 53, 1029–1036 (2012). https://doi.org/10.1134/S0037446612060079

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