Generalized Jordan derivations associated with Hochschild 2-cocycles of triangular algebras
Czechoslovak Mathematical Journal (2010)
- Volume: 60, Issue: 1, page 211-219
- ISSN: 0011-4642
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topMajieed, 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
top- Benkovič, D., Eremita, D., 10.1016/j.jalgebra.2004.06.019, J. Algebra 280 (2004), 797-824. (2004) MR2090065DOI10.1016/j.jalgebra.2004.06.019
- Benkovič, D., Jordan derivations and antiderivations on triangular matrices, Linear Algebra Appl. 397 (2005), 235-244. (2005) MR2116460
- Brešar, M., 10.1090/S0002-9939-1988-0929422-1, Proc. Amer. Math. Soc. 104 (1988), 1103-1106. (1988) MR0929422DOI10.1090/S0002-9939-1988-0929422-1
- Davidson, K., Nest Algebras, Pitman Research Notes in Math. 191, Longman, London (1988). (1988) Zbl0669.47024MR0972978
- Hou, J. C., Qi, X. F., Generalized Jordan derivation on nest algebras, Linear Algebra Appl. 430 (2009), 1479-1485. (2009) Zbl1155.47059MR2490690
- Herstein, I. N., 10.1090/S0002-9939-1957-0095864-2, Proc. Amer. Math. Soc. 8 (1958), 1104-1110. (1958) Zbl0216.07202MR0095864DOI10.1090/S0002-9939-1957-0095864-2
- Lu, F. Y., 10.4064/sm190-3-3, Stud. Math. 190 (2009), 283-299. (2009) Zbl1156.47058MR2572431DOI10.4064/sm190-3-3
- Nakajima, A., Note on generalized Jordan derivation associate with Hochschild 2-cocycles of rings, Turk. J. Math. 30 (2006), 403-411. (2006) MR2270836
- Zhang, J. H., Jordan derivations of nest algebras, Acta Math. Sinica 41 (1998), 205-212. (1998) MR1612539
- Zhang, J. H., Yu, W., 10.1016/j.laa.2006.04.015, Linear Algebra Appl. 419 (2006), 251-255. (2006) Zbl1103.47026MR2263119DOI10.1016/j.laa.2006.04.015
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