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On generalized Jordan prederivations and generalized prederivations of Lie superalgebras - MaRDI portal

On generalized Jordan prederivations and generalized prederivations of Lie superalgebras (Q471631)

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scientific article; zbMATH DE number 6369975
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On generalized Jordan prederivations and generalized prederivations of Lie superalgebras
scientific article; zbMATH DE number 6369975

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    On generalized Jordan prederivations and generalized prederivations of Lie superalgebras (English)
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    17 November 2014
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    Summary: The concepts of (generalized) \((\theta, \varphi)\)-prederivations and (generalized) Jordan \((\theta, \varphi)\)-prederivations on a Lie superalgebra are introduced. It is proved that Jordan \((\theta, \varphi)\)-prederivations (resp., generalized Jordan \((\theta, \varphi)\)-prederivations) are \((\theta, \varphi)\)-prederivations (resp., generalized \((\theta, \varphi)\)-prederivations) on a Lie superalgebra under some conditions. In particular, Jordan \(\theta\)-prederivations are \(\theta\)-prederivations on a Lie superalgebra.
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