충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제35권2호
  • /
  • Pages.115-124
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  • 2022
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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ON ORTHOGONAL REVERSE DERIVATIONS OF SEMIPRIME 𝚪-SEMIRINGS

  • Kim, Kyung Ho (Department of Mathematics Korea National University of Transportation)
  • 투고 : 2022.02.25
  • 심사 : 2022.04.20
  • 발행 : 2022.05.15
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초록

In this paper, we introduce the notion of orthogonal reserve derivation on semiprime 𝚪-semirings. Some characterizations of semiprime 𝚪-semirimgs are obtained by means of orthogonal reverse derivations. We also investigate conditions for two reverse derivations on semiprime 𝚪-semiring to be orthogonal.

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참고문헌

  1. M. Ashraf, M. R. Jamal, Othogonal derivations in Γ-rings, Advances in Algebras, 3 (2010), no. 1, 1-6.
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  3. Kalyan Kumar Dey, Akhil Chandra Paul, Isamiddin S. Rakhimov, Semiprime Γ-rings with orthogonal reverse Derivations, Int. J. Pure Appl. Math., 83 (2013), no. 2, 233-245.
  4. E. Posner, Derivations in prime rings, Pro. Amer. Math. Soc., 8 (1957), 1093-1100. https://doi.org/10.1090/S0002-9939-1957-0095863-0
  5. N. N. Sulaiman, A. R. H. Majeed, Orthogonal derivations on an ideal of semiprime Γ-rings, Int. Math. Forum, 7 (2012), no. 28, 1405-1412.