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Study of multiplicative derivation and its additivity

  • Wasim Ahmed [1] ; Rahman Mozumder, Muzibur [1] ; Madni, Arshad [1]
    1. [1] Aligarh Muslim University

      Aligarh Muslim University

      India

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 42, Nº. 1, 2023, págs. 219-232
  • Idioma: inglés
  • DOI: 10.22199/issn.0717-6279-5578
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  • Resumen
    • In this paper, we modify the result of M. N. Daif [1] on multiplicative derivations in rings. He showed that the multiplicative derivation is additive by imposing certain conditions on the ring ℜ. Here, we have proved the above result with lesser conditions than M. N. Daif for getting multiplicative derivation to be additive.

  • Referencias bibliográficas
    • M. N. Daif, “When is a multiplicative derivation additive?”, International Journal of Mathematics and Mathematical Sciences, vol. 14, no....
    • M. N. Daif and M. S. Tammam-El-Sayiad, Multiplicative generalized derivations which are additive”, East-West Journal of Mathematics, vol....
    • N. Jacobson, Structure of rings. American Mathematical Society Colloquium Publications, vol. 37, 1964.
    • W. S. Martindale, “When are multiplicative mappings additive ?, Proceedings of the American Mathematical Society, vol. 21, no. 3, pp. 695-698,...
    • E.C. Posner, “Derivations in prime rings”, Proceedings of the American Mathematical Society, vol. 8, no. 6, pp. 1093-1100, 1957. https://doi.org/10.2307/2032686
    • Y. Wang, “The additivity of multiplicative maps on rings”, Communications in Algebra, vol. 37, no. 6, pp. 2351-2356, 2009. https://doi.org/10.1080/00927870802623369

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