대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제31권3호
  • /
  • Pages.433-445
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  • 2016
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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ON SEMIDERIVATIONS IN 3-PRIME NEAR-RINGS

  • Ashraf, Mohammad (Department of Mathematics Aligarh Muslim University) ;
  • Boua, Abdelkarim (Universite Ibn Zohr Faculte des sciences, Departement de Mathematiques Equipe d'Equations Fonctionnelles et Applications (EEFA))
  • 투고 : 2015.08.26
  • 발행 : 2016.07.31
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초록

In the present paper, we expand the domain of work on the concept of semiderivations in 3-prime near-rings through the study of structure and commutativity of near-rings admitting semiderivations satisfying certain differential identities. Moreover, several examples have been provided at places which show that the assumptions in the hypotheses of various theorems are not altogether superfluous.

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참고문헌

  1. M. Ashraf, A. Boua, and A. Raji, On derivations and commutativity in prime near-rings, J. Taibah Univ. Sci. 8 (2014), 301-306. https://doi.org/10.1016/j.jtusci.2014.02.002
  2. M. Ashraf and A. Shakir, On (${\sigma},\;{\tau}$)-derivations of prime near-rings-II, Sarajevo J. Math. 4(16) (2008), no. 1, 23-30.
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  6. A. Boua and L. Oukhtite, Semiderivations satisfying certain algebraic identities on prime near-rings, Asian-Eur. J. Math. 6 (2013), no. 3, 1350043, 8 pp.
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