Commuting Maps of Triangular Algebras

Commuting Maps of Triangular Algebras
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DOI:
10.1112/s0024610700001642
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发表时间:
2001-02
期刊:
Journal of the London Mathematical Society
影响因子:
--
通讯作者:
W. Cheung
W. Cheung
中科院分区:
其他
文献类型:
--
作者:
W. Cheung

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研究了一类三角代数上的交换映射。特别地,给出了这样一个代数上的交换映射L具有L(a)= ax+h(a)的形式的充分条件,其中x位于代数的中心,h是从代数到其中心的线性映射.
Commuting maps on a class of algebras called triangular algebras are investigated. In particular, sufficient conditions are given such that every commuting map L on such an algebra is of the form L(a) = ax+h(a), where x lies in the center of the algebra and h is a linear map from the algebra to its center.