대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제42권4호
  • /
  • Pages.671-678
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  • 2005
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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ON DERIVATIONS IN NONCOMMUTATIVE SEMIPRIME RINGS AND BANACH ALGEBRAS

  • 발행 : 2005.11.01
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⟨ 이전 논문 다음 논문 ⟩

초록

Let R be a noncommutative semi prime ring. Suppose that there exists a derivation d : R $\to$ R such that for all x $\in$ R, either [[d(x),x], d(x)] = 0 or $\langle$$\langle(x),\;x\rangle,\;d(x)\rangle$ = 0. In this case [d(x), x] is nilpotent for all x $\in$ R. We also apply the above results to a Banach algebra theory.

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참고문헌

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피인용 문헌

  1. Generalized derivations on Lie ideals in prime rings vol.65, pp.1, 2015, https://doi.org/10.1007/s10587-015-0167-4
  2. An identity with generalized derivations on lie ideals, right ideals and Banach algebras vol.62, pp.2, 2012, https://doi.org/10.1007/s10587-012-0039-0
  3. Generalized Derivations of Rings and Banach Algebras vol.41, pp.3, 2013, https://doi.org/10.1080/00927872.2011.642043
  4. Engel conditions of generalized derivations on Lie ideals and left sided ideals in prime rings and Banach Algebras vol.27, pp.7-8, 2016, https://doi.org/10.1007/s13370-016-0418-z
  5. Generalized derivations with power values in rings and Banach algebras vol.21, pp.2, 2013, https://doi.org/10.1016/j.joems.2013.01.001
  6. On prime and semiprime rings with generalized derivations and non-commutative Banach algebras vol.126, pp.3, 2016, https://doi.org/10.1007/s12044-016-0287-2
  7. On Lie Ideals with Generalized Derivations and Non-commutative Banach Algebras vol.40, pp.2, 2017, https://doi.org/10.1007/s40840-017-0453-4
  8. Derivations with Power Values on Lie Ideals in Rings and Banach Algebras vol.56, pp.2, 2016, https://doi.org/10.5666/KMJ.2016.56.2.397