대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제46권3호
  • /
  • Pages.435-437
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  • 2009
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  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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JORDAN θ-DERIVATIONS ON LIE TRIPLE SYSTEMS

  • Najati, Abbas (DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCES UNIVERSITY OF MOHAGHEGH ARDABILI)
  • 발행 : 2009.05.31
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초록

In this paper we prove that every Jordan $\theta$-derivation on a Lie triple system is a $\theta$-derivation. Specially, we conclude that every Jordan derivation on a Lie triple system is a derivation.

키워드

참고문헌

  1. W. Bertram, The Geometry of Jordan and Lie Structures, Lecture Notes in Math., Vol. 1754, Springer-Verlag, 2000
  2. N. Jacobson, Lie and Jordan triple systems, Amer. J. Math. 71 (1949), 149–170
  3. N. Jacobson, General representation theory of Jordan algebras, Trans. Amer. Math. Soc. 70 (1951), 509–530
  4. W. G. Lister, A structure theory of Lie triple systems, Trans. Amer. Math. Soc. 72 (1952), 217–242
  5. M. S. Moslehian and Th. M. Rassias, Generalized Hyers–Ulam stability of mappings on normed Lie triple systems, Math. Inequal. Appl. 11 (2008), no. 2, 371–380

피인용 문헌

  1. On Generalized Jordan Prederivations and Generalized Prederivations of Lie Superalgebras vol.2014, 2014, https://doi.org/10.1155/2014/401238