Generalized derivations associated with Hochschild 2-cocycles on some algebras

Jiankui Li; Jiren Zhou

Czechoslovak Mathematical Journal (2010)

  • Volume: 60, Issue: 4, page 909-932
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Li, Jiankui, and Zhou, Jiren. "Generalized derivations associated with Hochschild 2-cocycles on some algebras." Czechoslovak Mathematical Journal 60.4 (2010): 909-932. <http://eudml.org/doc/196942>.

@article{Li2010,
abstract = {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.},
author = {Li, Jiankui, Zhou, Jiren},
journal = {Czechoslovak Mathematical Journal},
keywords = {CSL algebra; generalized derivation; generalized Jordan derivation; Hochschild 2-cocycle; CSL algebra; generalised derivation; generalised Jordan derivation; Hochschild 2-cocycle},
language = {eng},
number = {4},
pages = {909-932},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Generalized derivations associated with Hochschild 2-cocycles on some algebras},
url = {http://eudml.org/doc/196942},
volume = {60},
year = {2010},
}

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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 4
SP - 909
EP - 932
AB - 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.
LA - eng
KW - CSL algebra; generalized derivation; generalized Jordan derivation; Hochschild 2-cocycle; CSL algebra; generalised derivation; generalised Jordan derivation; Hochschild 2-cocycle
UR - http://eudml.org/doc/196942
ER -

References

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