Generalized derivations associated with Hochschild 2-cocycles on some algebras
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 4, pp. 909-932
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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.
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.
Classification :
47B47, 47L35
Keywords: CSL algebra; generalized derivation; generalized Jordan derivation; Hochschild 2-cocycle
Keywords: CSL algebra; generalized derivation; generalized Jordan derivation; Hochschild 2-cocycle
@article{CMJ_2010_60_4_a2,
author = {Li, Jiankui and Zhou, Jiren},
title = {Generalized derivations associated with {Hochschild} 2-cocycles on some algebras},
journal = {Czechoslovak Mathematical Journal},
pages = {909--932},
year = {2010},
volume = {60},
number = {4},
mrnumber = {2738956},
zbl = {1220.47143},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2010_60_4_a2/}
}
Li, Jiankui; Zhou, Jiren. Generalized derivations associated with Hochschild 2-cocycles on some algebras. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 4, pp. 909-932. http://geodesic.mathdoc.fr/item/CMJ_2010_60_4_a2/