DERIVATIONS INVOLVING CENTRALIZERS

被引:0
|
作者
Ullah, Zafar [1 ]
Javaid, Imran [1 ]
Chaudhry, Muhammad Anwar [1 ]
机构
[1] Bahauddin Zakariya Univ Multan, Ctr Adv Studies Pure & Appl Math, Multan, Pakistan
关键词
semiprime ring; centralizers; alpha-centralizer; derivation; generalized derivation; generalized; (alpha; beta)-; GENERALIZED DERIVATIONS; JORDAN DERIVATIONS;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let R be a 2-torsion free semiprime ring, D : R -> R be a derivation and alpha, beta are surjective centralizers on R. In this paper, we show that if [[D(x), alpha(x)], beta(x)] = 0 and D(beta(x)) = beta(D(x)) for all x is an element of R, then D is commuting on R.
引用
收藏
页码:383 / 392
页数:10
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