Research ArticleOpen AccessGoogle Scholar indexed
Nonlinear Jordan Triple Derivations of Triangular Algebras
School of Science, Southwest University of Science and Technology, Mianyang, China
- 1 School of Science, Southwest University of Science and Technology, Mianyang, China
Advances in Linear Algebra & Matrix Theory·Volume 04 (2014)·Pages 205–209·Published 14 November 2014·DOI10.4236/alamt.2014.44018
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Abstract
In this paper, it is proved that every nonlinear Jordan triple derivation on triangular algebra is an additive derivation.
KeywordsNonlinear Jordan Triple DerivationsTriangular AlgebrasDerivation
- Bresar, M. (1989) Jordan Mappings of Semiprime Rings. Journal of Algebra, 127, 218-228. http://dx.doi.org/10.1016/0021-8693(89)90285-8
- Herstein, I.N. (1969) Topics in Ring Theory. University of Chicago Press, Chicago, London.
- Wei, F. and Xiao, Z.K. (2009) Generalized Jordan Triple Higher Derivations on Semiprime Rings. Bulletin of the Korean Mathematical Society, 46, 553-565. http://dx.doi.org/10.4134/BKMS.2009.46.3.553
- Li, J.K. and Lu, F.Y. (2007) Additive Jordan Derivations of Reflexive Algebras. Journal of Mathematical Analysis and Applications, 329, 102-111. http://dx.doi.org/10.1016/j.jmaa.2006.06.019
- Zhang, J.H. (1998) Jordan Derivations on Nest Algebras. Acta Mathematica Sinica, Chinese Series, 41, 205-213. (In Chinese)
- Fosner, M. and Ilisevic, D. (2008) On Jordan Triple Derivations and Related Mappings. Mediterranean Journal of Mathematics, 5, 1660-5454. http://dx.doi.org/10.1007/s00009-008-0159-9
- Jing, W. and Lu, S. (2003) Generalized Jordan Derivations on Prime Rings and Standard Operator Algebras. Taiwanese Journal of Mathematics, 7, 605-613.
- Shang, Y. (2013) On the Ideals of Commutative Local Rings. Kochi Journal of Mathematics, 8, 13-17.
- Shang, Y. (2011) A Study of Derivations in Prime Near-Rings. Mathematica Balkanica (N.S.), 25, 413-418.
- Cheung, W.S. (2000) Mappings on Triangular Algebras. Ph.D. Dissertation, University of Victoria, British Columbia, Canada.
- Zhang, J.H. and Yu, W.Y. (2006) Jordan Derivations of Triangular Algebras. Linear Algebra and Its Applications, 419, 251-255. http://dx.doi.org/10.1016/j.laa.2006.04.015