Generalized Jordan derivations associated with Hochschild 2-cocycles of triangular algebras

Asia Majieed; Jiren Zhou

Czechoslovak Mathematical Journal (2010)

  • Volume: 60, Issue: 1, page 211-219
  • ISSN: 0011-4642

Abstract

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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 𝒰 is a triangular algebra, then every generalized Jordan derivation of above type from 𝒰 into itself is a generalized derivation.

How to cite

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Majieed, Asia, and Zhou, Jiren. "Generalized Jordan derivations associated with Hochschild 2-cocycles of triangular algebras." Czechoslovak Mathematical Journal 60.1 (2010): 211-219. <http://eudml.org/doc/38002>.

@article{Majieed2010,
abstract = {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.},
author = {Majieed, Asia, Zhou, Jiren},
journal = {Czechoslovak Mathematical Journal},
keywords = {generalized Jordan derivation; generalized derivation; Hochschild 2-cocycle; triangular algebra; generalized Jordan derivations; generalized derivations; Hochschild cocycles; triangular algebras},
language = {eng},
number = {1},
pages = {211-219},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Generalized Jordan derivations associated with Hochschild 2-cocycles of triangular algebras},
url = {http://eudml.org/doc/38002},
volume = {60},
year = {2010},
}

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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 1
SP - 211
EP - 219
AB - 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.
LA - eng
KW - generalized Jordan derivation; generalized derivation; Hochschild 2-cocycle; triangular algebra; generalized Jordan derivations; generalized derivations; Hochschild cocycles; triangular algebras
UR - http://eudml.org/doc/38002
ER -

References

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