Jordan higher all-derivable points in triangular algebras

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• 作者：Jinping Zhao ; Jun Zhu ; ^{zhu_gjun@yahoo.com.cn}
• 关键词：16W25 ; 47B47
• 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：3072-3086
• 文件大小：294 K

摘要

Let be a triangular algebra. We say that is a Jordan higher derivable mapping at G if for any with . An element is called a Jordan higher all-derivable point of if every Jordan higher derivable linear mapping at G is a higher derivation. In this paper, under some mild conditions on , we prove that some elements of are Jordan higher all-derivable points. This extends some results in to the case of Jordan higher derivations.