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On derivations in noncommutative semiprime rings and Banach algebras

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대한수학회 (The Korean Mathematical Society)|2005.11|대한수학회보 (Bulletin of the KMS)|제42권 제4호|pp. 671-678

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Abstract

Let R be a noncommutative semiprime ring. Supposet hat there exists a derivation d :R -> R such that for all x \in R,either [[d(x),x],d(x)] = 0 or <<d(x),x>,d(x)> = 0. In this case[d(x),x] is nilpotent for all x \in R. We also apply the above resultsto a Banach algebra theory.

참고문헌 (10)

  1. "Derivations of noncommutative Banach algebras II", 63, pp.56~59 (1994)
  2. "Continuity of derivations and a problem of Kaplansky", 90, pp.1067~1073 (1968)
  3. "Derivations of semiprime rings and noncommutative Banach algebras", 17, pp.607~618 (2002)
  4. "On the derivations of semiprime rings and noncommutative Banach algebras", 16(1), pp.21~28 (2000)
  5. "Where to find the image of a derivation", 30, pp.237~249 (1994)
  6. "Automatic continuity of linear operators", 21 (1976)
  7. "Derivations on commutative normed algebras", 129, pp.260~264 (1955)
  8. "The image of a derivation is contained in the radical", 128, pp.435~460 (1988)
  9. "A result concerning derivations in noncommutative Banach algebras", 26, pp.83~88 (1991)
  10. "Centralizers on semiprime rings", 42(2), pp.237~245 (2001), Univ. Carolin.

관련 논문AI추천

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