National Changhua University of Education Institutional Repository : Item 987654321/15002
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题名: Generalized Derivations with Nilpotent Values on Multilinear Polynomials
作者: Lin, Jer-Shyong;Liu, Cheng-Kai
贡献者: 數學系
关键词: Generalized derivation;prime ring;Martindale quotient ring;Generalized polynomial identity (GPI).
日期: 2006-09
上传时间: 2013-01-07T01:43:31Z
出版者: the Mathematical Society of the Republic of China
摘要: Let R be a prime ring without nonzero nil one-sided ideals. Suppose that g is a generalized derivation of R and that f(X 1 ,⋯,X k ) is a multilinear polynomial not central-valued on R such that g(f(x 1 ,⋯,x k )) is nilpotent for all x 1 ,⋯,x k in some nonzero ideal of R . Then g=0 .
關聯: Taiwanese Journal of Mathematics, 10(5): 1183-1192
显示于类别:[數學系] 期刊論文

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