Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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A NOTE ON MULTIPLICATIVE (GENERALIZED)-DERIVATION IN SEMIPRIME RINGS

  • 투고 : 2017.08.11
  • 심사 : 2017.10.23
  • 발행 : 2018.01.30
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초록

In this article we study two Multiplicative (generalized)- derivations ${\mathcal{G}}$ and ${\mathcal{H}}$ that satisfying certain conditions in semiprime rings and tried to find out some information about the associated maps. Moreover, an example is given to demonstrate that the semiprimeness imposed on the hypothesis of the various results is essential.

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참고문헌

  1. H. E. Bell and W. S. Martindale III, Centralizing mappings of semiprime rings Canad. Math. Bull. 30(1) (1987), 91-101.
  2. M. Bresar, On the distance of the composition of two derivations to the generalized derivations, Glasgow Math. J. 33 (1991), 89-93. https://doi.org/10.1017/S0017089500008077
  3. B. Dhara and S. Ali, On multiplicative (generalized)-derivations in prime and semiprime rings, Aequationes Math. 86(1-2) (2013), 65-79. https://doi.org/10.1007/s00010-013-0205-y
  4. B. Dhara and S. Ali, On n-centralizing generalized derivations in semiprime rings with applications to C*-algebras, J. Algebra and its Applications 11(6) (2012), DOI:10.1142/S0219498812501113.
  5. M. N. Daif, When in a multiplicative derivation additive?, Int. J. Math. Math. Sci. 14(3) (1991), 615-618. https://doi.org/10.1155/S0161171291000844
  6. M. N. Daif and M. S. Tammam El-Sayiad, Multiplicative generalized derivations which are additiv, East-West J. Math. 9(1) (1997), 31-37.
  7. B. Hvala, Generalized derivations in rings, Comm. Algebra 26(4) (1998), 1147-1166. https://doi.org/10.1080/00927879808826190
  8. W. S. Martidale III, When are multiplicative maps additive, Proc. Am. Math. Soc. 21(1969), 695-698. https://doi.org/10.1090/S0002-9939-1969-0240129-7
  9. S. K. Tiwari, R. K. Sharma and B. Dhara Identities related to generalized derivation on ideal in prime rings, Beitr Algebra Geom 57(4) (2016), 809821.