충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제29권4호
  • /
  • Pages.643-650
  • /
  • 2016
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
권호 표지
DOI QR코드

DOI QR Code

ON SEMIDERIVATIONS OF NEAR-RINGS

  • Kim, Kyung Ho (Department of Mathematics Korea National University of Transportation)
  • 투고 : 2016.09.01
  • 심사 : 2016.10.20
  • 발행 : 2016.11.15
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, we introduce the notion of a semiderivation on near-rings, and we try to generalize some properties of prime rings with derivations to prime near-rings with semiderivations.

키워드

과제정보

연구 과제 주관 기관 : Korea National University

참고문헌

  1. H. E. Bell. and W. S. Martindale III, Semiderivations and commutatity in prime rings, Canad. Math. 31 (1988), no. 4, 500-5008. https://doi.org/10.4153/CMB-1988-072-9
  2. J. Bergen, Derivations in prime rings, Canad. Math. 26 (1983), 267-270. https://doi.org/10.4153/CMB-1983-042-2
  3. J. Bergen and P. Grzesczuk, Skew derivations with central invariants, J. London Math. Soc. 59 (1999), no. 2, 87-99. https://doi.org/10.1112/S0024610799007000
  4. A. Boua and L. Oukhtite, Semiderivations satisfying certain algebraic identities on prime rings, Asian-European Journal of Mathematics, 6 (2013), no. 3, 8.
  5. M. Bresar, On a generalizationof the notion of centralizing mappings, Proc. Amer. Math. Soc. 114 (1992), 641-649. https://doi.org/10.1090/S0002-9939-1992-1072330-X
  6. M. Bresar, Semiderivations of prime rings, Proc. Amer. Math. Soc. 108 (1990), no. 4, 859-860. https://doi.org/10.1090/S0002-9939-1990-1007488-X
  7. J. C. Chang, On semiderivations of prime rings, Chinese J. Math Soc. 12 (1984), 255-262.
  8. C. L. Chuang, On the structure of semiderivations in prime rings, Proc. Amer. Math. Soc. 108 (1990), no. 4, 867-869. https://doi.org/10.1090/S0002-9939-1990-1002154-9
  9. A. Firat, Some results for semiderivations of prime rings, International J. of pure and Applied Mathematics 28 (1990), no. 3, 363-368.