AN EQUATION RELATED TO CENTRALIZERS IN SEMIPRIME RINGS
AN EQUATION RELATED TO CENTRALIZERS IN SEMIPRIME RINGS
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DOI：
10.3336/gm.38.2.04
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发表时间：
2003-12
影响因子：
0.4
通讯作者：
J. Vukman;I. Kosi-Ulbl
中科院分区：
文献类型：
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作者：
J. Vukman;I. Kosi-Ulbl
主要结果是：设R是具有扩张质心C的2-挠自由半质环，T：R！R是可加映射.设3 T（xyx）= T（x）yx + xT（y）x + xyT（x）对所有x; y2 R成立.则存在一个元素2C使得T（x）= x，对所有x2 R.
The main result: Let R be a 2-torsion free semiprime ring with extended centroid C and let T : R ! R be an additive mapping. Suppose that 3T (xyx) = T (x)yx + xT (y)x + xyT (x) holds for all x; y 2 R. Then there exists an element 2 C such that T (x) = x for all x 2 R.