A NOTE ON $(m,n)$-JORDAN DERIVATIONS OF RINGS AND BANACH ALGEBRAS
A NOTE ON $(m,n)$-JORDAN DERIVATIONS OF RINGS AND BANACH ALGEBRAS
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DOI：
10.1017/s0004972715001203
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发表时间：
2015-10
影响因子：
0.7
通讯作者：
I. Kosi-Ulbl;J. Vukman
中科院分区：
文献类型：
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作者：
I. Kosi-Ulbl;J. Vukman
本文证明了以下结果：设$m,n\geq 1$是不同整数，设$R$是一个$mn(m+n)|m-n|$ -无扭半素环，设$D:R\rightarrow R$是一个$(m,n)$ -Jordan导数，即$x\in R$是一个满足$(m+n)D(x^{2})=2mD(x)x+2nxD(x)$关系的加性映射。然后$D$是一个将$R$映射到其中心的推导。
In this paper we prove the following result: let $m,n\geq 1$ be distinct integers, let $R$ be an $mn(m+n)|m-n|$-torsion free semiprime ring and let $D:R\rightarrow R$ be an $(m,n)$-Jordan derivation, that is an additive mapping satisfying the relation $(m+n)D(x^{2})=2mD(x)x+2nxD(x)$ for $x\in R$. Then $D$ is a derivation which maps $R$ into its centre.