Generalized derivations on Lie ideals in prime rings

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• 作者：Basudeb Dhara ; Sukhendu Kar ; Sachhidananda Mondal
• 关键词：prime ring ; derivation ; generalized derivation ; extended centroid ; Utumi quotient ring ; Lie ideal ; Banach algebra ; 16W25 ; 16W80 ; 16N60
• 刊名：Czechoslovak Mathematical Journal
• 出版年：2015
• 出版时间：March 2015
• 年：2015
• 卷：65
• 期：1
• 页码：179-190
• 全文大小：159 KB
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• 作者单位：Basudeb Dhara (1)
  Sukhendu Kar (2)
  Sachhidananda Mondal (2)
  
  1. Department of Mathematics, Belda College, Belda, Paschim Medinipur, West Bengal, 721 424, India
  2. Department of Mathematics, Jadavpur University, 188, Raja S.C. Mallick Road, Jadavpur, Kolkata, 700 032, India
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Analysis
  Convex and Discrete Geometry
  Ordinary Differential Equations
  Mathematical Modeling and IndustrialMathematics
  
• 出版者：Springer Netherlands
• ISSN：1572-9141

文摘

Let R be a prime ring with its Utumi ring of quotients U and extended centroid C. Suppose that F is a generalized derivation of R and L is a noncentral Lie ideal of R such that F(u)[F(u), u] n = 0 for all u ?L, where n ?1 is a fixed integer. Then one of the following holds: (1) there exists λ ?C such that F(x) = λx for all x ?R