Nonlinear strong commutativity preserving maps on skew elements of prime rings with involution

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• 作者：Pao-Kuei Liau ^{d96211001@mail.ncue.edu.tw} ; Wei-Lu Huang ^{tony000798@yahoo.com.tw} ; Cheng-Kai Liu ; ^{ckliu@cc.ncue.edu.tw}
• 关键词：16N60 ; 16R60 ; 15A86
• 刊名：Linear Algebra and its Applications
• 出版年：2012
• 期刊代码：38_00243795
• 类别：mt
• 出版时间：1 May, 2012
• 卷：436
• 期：9
• 页码：3099-3108
• 文件大小：303 K

摘要

Let be a prime ring of characteristic not 2, with involution, with center and with skew elements . Suppose that is a map satisfying for all . Then there exists a map such that for all or for all except when is an order in a 4, 9 or 16-dimensional central simple algebra.