Generalized derivations associated with Hochschild 2-cocycles on some algebras
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 4, pp. 909-932.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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
@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},
     publisher = {mathdoc},
     volume = {60},
     number = {4},
     year = {2010},
     mrnumber = {2738956},
     zbl = {1220.47143},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2010__60_4_a2/}
}
TY  - JOUR
AU  - Li, Jiankui
AU  - Zhou, Jiren
TI  - Generalized derivations associated with Hochschild 2-cocycles on some algebras
JO  - Czechoslovak Mathematical Journal
PY  - 2010
SP  - 909
EP  - 932
VL  - 60
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMJ_2010__60_4_a2/
LA  - en
ID  - CMJ_2010__60_4_a2
ER  - 
%0 Journal Article
%A Li, Jiankui
%A Zhou, Jiren
%T Generalized derivations associated with Hochschild 2-cocycles on some algebras
%J Czechoslovak Mathematical Journal
%D 2010
%P 909-932
%V 60
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMJ_2010__60_4_a2/
%G en
%F 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/