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題名: Strong Commutativity Preserving Maps on Lie Ideals
作者: Lin, Jer-Shyong;Liu, Cheng-Kai
貢獻者: 數學系
關鍵詞: Prime ring;Lie ideal;Strong commutativity preserving
日期: 2008-04
上傳時間: 2013-01-07T01:43:38Z
出版者: Elsevier
摘要: Let A be a prime ring and let R be a noncentral Lie ideal of A. An additive map f:R→A is called strong commutativity preserving (SCP) on R if [f(x),f(y)]=[x,y] for all x,y∈R. In this paper we show that if f is SCP on R, then there exist λ∈C, λ2=1 and an additive map μ:R→Z(A) such that f(x)=λx+μ(x) for all x∈R where C is the extended centroid of A, unless charA=2 and A satisfies the standard identity of degree 4.
關聯: Linear Algebra and its Applications, 428(7): 1601-1609
顯示於類別:[數學系] 期刊論文


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