National Changhua University of Education Institutional Repository : Item 987654321/15018
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題名: Strong Commutativity Preserving Maps in Prime Rings with Involution
作者: Lin, Jer-Shyong;Liu, Cheng-Kai
貢獻者: 數學系
關鍵詞: Prime ring;Involution;Strong commutativity preserving;Functional identity
日期: 2010-01
上傳時間: 2013-01-07T01:44:07Z
出版者: Elsevier
摘要: Let A be a prime ring of characteristic not 2, with center Z(A) and with involution *. Let S be the set of symmetric elements of A. Suppose that f:S→A is an additive map such that [f(x),f(y)]=[x,y] for all x,y∈S. Then unless A is an order in a 4-dimensional central simple algebra, there exists an additive map μ:S→Z(A) such that f(x)=x+μ(x) for all x∈S or f(x)=-x+μ(x) for all x∈S.
關聯: Linear Algebra and its Applications, 432(1): 14-23
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