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Nonlinear Jordan Triple Derivations of Triangular Algebras

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DOI: 10.4236/alamt.2014.44018    2,914 Downloads   3,536 Views  
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ABSTRACT

In this paper, it is proved that every nonlinear Jordan triple derivation on triangular algebra is an additive derivation.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Li, H. (2014) Nonlinear Jordan Triple Derivations of Triangular Algebras. Advances in Linear Algebra & Matrix Theory, 4, 205-209. doi: 10.4236/alamt.2014.44018.

References

[1] 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
[2] Herstein, I.N. (1969) Topics in Ring Theory. University of Chicago Press, Chicago, London.
[3] 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
[4] 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
[5] Zhang, J.H. (1998) Jordan Derivations on Nest Algebras. Acta Mathematica Sinica, Chinese Series, 41, 205-213. (In Chinese)
[6] 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
[7] Jing, W. and Lu, S. (2003) Generalized Jordan Derivations on Prime Rings and Standard Operator Algebras. Taiwanese Journal of Mathematics, 7, 605-613.
[8] Shang, Y. (2013) On the Ideals of Commutative Local Rings. Kochi Journal of Mathematics, 8, 13-17.
[9] Shang, Y. (2011) A Study of Derivations in Prime Near-Rings. Mathematica Balkanica (N.S.), 25, 413-418.
[10] Cheung, W.S. (2000) Mappings on Triangular Algebras. Ph.D. Dissertation, University of Victoria, British Columbia, Canada.
[11] 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

  
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