Kyungpook Mathematical Journal

  • 제58권3호
  • /
  • Pages.481-488
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  • 2018
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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Generalized Derivations on ∗-prime Rings

  • 투고 : 2015.12.30
  • 심사 : 2018.08.20
  • 발행 : 2018.09.23
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초록

Let I be a ${\ast}$-ideal on a 2-torsion free ${\ast}$-prime ring and $F:R{\rightarrow}R$ a generalized derivation with an associated derivation $d:R{\rightarrow}R$. The aim of this paper is to explore the condition under which generalized derivation F becomes a left centralizer i.e., associated derivation d becomes a trivial map (i.e., zero map) on R.

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참고문헌

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  2. N. Argac, On prime and semiprime rings with derivations, Algebra Colloq., 13(3)(2006), 371-380. https://doi.org/10.1142/S1005386706000320
  3. H. E. Bell and W. S. Martindale III, Centralizing mappings of semiprime rings, Canad. Math. Bull., 30(1)(1987), 92-101. https://doi.org/10.4153/CMB-1987-014-x
  4. N. H. McCoy, The theory of rings, Macmillian, New York and Londan, 1964.
  5. E. C. Posner, Derivations in prime rings, Proc. Amer. Math. Soc., 8(1957), 1093-1100.