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Higher derivations on Lie ideals of triangular algebras. (English. Russian original) Zbl 1261.16043
Sib. Math. J. 53, No. 6, 1029-1036 (2012); translation from Sib. Mat. Zh. 53, No. 6, 1283-1291 (2012).
Summary: Let $$\mathcal T$$ be a triangular algebra and let $$\mathcal U$$ be an admissible Lie ideal of $$\mathcal T$$. We mainly consider the question whether each Jordan higher derivation of $$\mathcal U$$ into $$\mathcal T$$ is a higher derivation of $$\mathcal U$$ into $$\mathcal T$$. We also give some characterizations for the Jordan triple higher derivations of $$\mathcal U$$.

##### MSC:
 16W25 Derivations, actions of Lie algebras 47B47 Commutators, derivations, elementary operators, etc. 16S50 Endomorphism rings; matrix rings
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