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On generalized higher derivations. (English) Zbl 0979.16022
The author introduces the concept of a generalized higher derivation in such a way that it extends the well-known concept of a higher derivation as well as the concept of a generalized derivation as introduced by the same author [in Sci. Math. 2, No. 3, 345-352 (1999; Zbl 0968.16018)]. Moreover, somewhat more general concepts of generalized higher Jordan (resp. Lie) derivations are also introduced. Various elementary properties of generalized higher (Jordan, Lie) derivations are discussed.

MSC:
16W25 Derivations, actions of Lie algebras
16W10 Rings with involution; Lie, Jordan and other nonassociative structures
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