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On generalized Jordan left derivations in rings

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In this paper, we introduce the notion of generalized leftderivation on a ring R and prove that every generalized Jordan left deriva-tion on a 2-torsion free prime ring is a generalized left derivation on R.Some related results are also obtained.

Abstract

In this paper, we introduce the notion of generalized leftderivation on a ring R and prove that every generalized Jordan left deriva-tion on a 2-torsion free prime ring is a generalized left derivation on R.Some related results are also obtained.

참고문헌 (19)

  1. M. Ashraf, "On left (µ; Á)-derivations of prime rings", Archiv der Mathematik, 41(2), pp.157~166 (2005)
  2. M. Ashraf, "On Lie ideals and generalized (µ; Á)-derivations in prime rings", Communications in Algebra, 32(8), pp.2977~2985 (2004)
  3. M. Ashraf, "On Jordan generalized derivations in rings", Mathematical Journal of Okayama University, 42, pp.7~9 (2000)
  4. M. Ashraf, "On Lie ideals and Jordan left derivations of prime rings", Archiv der Mathematik (Brno), 36(3), pp.201~206 (2000)
  5. M. Ashraf, "On Jordan left derivations of Lie ideals in prime rings", Southeast Asian Bulletin of Mathematics, 25(3), pp.379~382 (2001)
  6. M. Ashraf, "On Lie ideals and Jordan generalized derivations of prime rings", Indian Journal of Pure and Applied Mathematics, 34(2), pp.291~294 (2003)
  7. M. Breˇsar, "On left derivations and related mappings", Proceedings of the American Mathematical Society, 110(1), pp.7~16 (1990)
  8. W. Cortes, "On Jordan generalized higher derivations in rings", TURKISH JOURNAL OF MATHEMATICS, 29(1), pp.1~10 (2005)
  9. Q. Deng, "On Jordan left derivations", Mathematical Journal of Okayama University, 34, pp.145~147 (1992)
  10. I. N. Herstein, "Jordan derivations of prime rings", Proceedings of the American Mathematical Society, 8, pp.1104~1110 (1957)
  11. I. N. Herstein, "Topics in Ring Theory" (1969), Univ. of Chicago Press
  12. B. Hvala, "Generalized derivations in rings", Communications in Algebra, 26(4), pp.1147~1166 (1998)
  13. W. Jing, "Generalized Jordan derivations on prime rings and standard operator algebras", Taiwanese Journal of Mathematics, 7(4), pp.605~613 (2003)
  14. K. W. Jun, "A note on Jordan left derivations", Bulletin of the Korean Mathematical Society, 33(2), pp.221~228 (1996)
  15. Y. S. Jung, "Generalized Jordan triple higher derivations on prime rings", Indian Journal of Pure and Applied Mathematics, 36(9), pp.513~524 (2005)
  16. E. C. Posner, "Derivations in prime rings", Proceedings of the American Mathematical Society, 8, pp.1093~1100 (1957)
  17. J. Vukman, "Jordan left derivations on semiprime rings", Mathematical Journal of Okayama University, 39, pp.1~6 (1997)
  18. S. M. A. Zaidi, "On Jordan ideals and left (µ; µ)-derivations in prime rings", International Journal of Mathematics and Mathematical Sciences, 2004(37), pp.1957~1964 (2004)
  19. B. Zalar, "On centralizers of semiprime rings", COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 32(4), pp.609~614 (1991)

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