Characterizing centralizers and generalized derivations on triangular algebras by acting on zero product

Characterizing centralizers and generalized derivations on triangular algebras by acting on zero product
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通过作用于零乘积来表征三角代数的集中器和广义导数

DOI:
10.1007/s10114-013-2068-5
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发表时间:
2013-02
影响因子:
0.7
通讯作者:
Hou, Jinchuan
Hou, Jinchuan
中科院分区:
数学3区
文献类型:
--
作者:
Qi, Xiaofei;Hou, Jinchuan

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设U = Tri(A,M,B)是三角环,其中A,B是单位环,M是忠实(A,B)-双模.证明了U上的可加映射Φ集中于零点(即,当AB = 0时,Φ(A)B = AΦ(B)= 0当且仅当它是中心化器
Let U = Tri(A,M, B) be a triangular ring, where A and B are unital rings, and M is a faithful (A,B)-bimodule. It is shown that an additive map Φ on U is centralized at zero point (i.e., Φ(A)B = AΦ(B) = 0 whenever AB = 0) if and only if it is a centralizer
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