Higher Derivations and a Theorem By Herstein

Higher Derivations and a Theorem By Herstein
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DOI:
10.2989/16073600209486012
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发表时间:
2002-06
影响因子:
0.7
通讯作者:
M. Ferrero;C. Haetinger
M. Ferrero;C. Haetinger
中科院分区:
数学4区
文献类型:
--
作者:
M. Ferrero;C. Haetinger

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本文将Herstein关于素环中导子的一个著名结果推广到高阶导子。证明了2-挠自由半质环的Jordan高导子是高导子的结论。
In this paper we extend to the higher derivations a well-known result proved by Herstein concerning derivations in prime rings. We prove results which imply that every Jordan higher derivation of a 2-torsion-free semiprime ring is a higher derivation.