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International Symposium on Ring Theory pp 235–243Cite as

Birkhäuser

Generalized Jordan Derivations

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Part of the book series: Trends in Mathematics ((TM))

Abstract

We define a notion of generalized Jordan (resp. Lie) derivations and give some elementary properties of generalized Jordan (resp. Lie) derivations. These categorical results correspond to the results of generalized derivations in [N]. Moreover, we extend Herstein’s result of Jordan derivations on a prime ring to generalized Jordan derivations.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematical Science Faculty of Environmental Science and Technology, Okayama University, Okayama, 700-8530, Japan

    Atsushi Nakajima

Authors
  1. Atsushi Nakajima
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA, 70504-1010, USA

    Gary F. Birkenmeier

  2. Department of Mathematics, Pusan National University, Pusan, 609-735, Korea

    Jae Keol Park

  3. Department of Mathematics, Kyungpook National University, Taegu, 702-701, Korea

    Young Soo Park

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© 2001 Springer Science+Business Media New York

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Nakajima, A. (2001). Generalized Jordan Derivations. In: Birkenmeier, G.F., Park, J.K., Park, Y.S. (eds) International Symposium on Ring Theory. Trends in Mathematics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0181-6_19

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  • DOI: https://doi.org/10.1007/978-1-4612-0181-6_19

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6650-1

  • Online ISBN: 978-1-4612-0181-6

  • eBook Packages: Springer Book Archive

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