Generalized Jordan derivations associated with Hochschild 2-cocycles of triangular algebras
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 1, pp. 211-219
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In this paper, we investigate a new type of generalized derivations associated with Hochschild 2-cocycles which is introduced by A.Nakajima (Turk.\ J.\ Math.\ 30 (2006), 403--411). We show that if $\mathcal U$ is a triangular algebra, then every generalized Jordan derivation of above type from $\mathcal U$ into itself is a generalized derivation.
In this paper, we investigate a new type of generalized derivations associated with Hochschild 2-cocycles which is introduced by A.Nakajima (Turk.\ J.\ Math.\ 30 (2006), 403--411). We show that if $\mathcal U$ is a triangular algebra, then every generalized Jordan derivation of above type from $\mathcal U$ into itself is a generalized derivation.
Classification :
47B47, 47L35
Keywords: generalized Jordan derivation; generalized derivation; Hochschild 2-cocycle; triangular algebra
Keywords: generalized Jordan derivation; generalized derivation; Hochschild 2-cocycle; triangular algebra
@article{CMJ_2010_60_1_a17,
author = {Majieed, Asia and Zhou, Jiren},
title = {Generalized {Jordan} derivations associated with {Hochschild} 2-cocycles of triangular algebras},
journal = {Czechoslovak Mathematical Journal},
pages = {211--219},
year = {2010},
volume = {60},
number = {1},
mrnumber = {2595084},
zbl = {1224.16096},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2010_60_1_a17/}
}
TY - JOUR AU - Majieed, Asia AU - Zhou, Jiren TI - Generalized Jordan derivations associated with Hochschild 2-cocycles of triangular algebras JO - Czechoslovak Mathematical Journal PY - 2010 SP - 211 EP - 219 VL - 60 IS - 1 UR - http://geodesic.mathdoc.fr/item/CMJ_2010_60_1_a17/ LA - en ID - CMJ_2010_60_1_a17 ER -
Majieed, Asia; Zhou, Jiren. Generalized Jordan derivations associated with Hochschild 2-cocycles of triangular algebras. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 1, pp. 211-219. http://geodesic.mathdoc.fr/item/CMJ_2010_60_1_a17/