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Keywords:
CSL algebra; generalized derivation; generalized Jordan derivation; Hochschild 2-cocycle
CSL algebra; generalized derivation; generalized Jordan derivation; Hochschild 2-cocycle
Summary:
We investigate a new type of generalized derivations associated with Hochschild 2-cocycles which was introduced by A. Nakajima. We show that every generalized Jordan derivation of this type from CSL algebras or von Neumann algebras into themselves is a generalized derivation under some reasonable conditions. We also study generalized derivable mappings at zero point associated with Hochschild 2-cocycles on CSL algebras.
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