Rings with simple Lie rings of Lie and Jordan derivations

被引：4
作者：
Al Khalaf, Ahmad [1 ]
Artemovych, Orest D. [2 ]
Taha, Iman [3 ]
机构：
[1] Al Imam Mohammad Ibn Saud Islamic Univ, Coll Sci, Dept Math, POB 90950, Riyadh, Saudi Arabia
[2] Cracow Univ Technol, Inst Math, Ul Warszawska 24, PL-31155 Krakow, Poland
[3] Saudi Elect Univ, Riyadh, Saudi Arabia
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2018年 / 17卷 / 04期
关键词：
Derivation; Lie derivation; Jordan derivation; Lie ring; PRIME-RINGS; ALGEBRAS;
D O I：
10.1142/S0219498818500780
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let R be an associative ring. We characterize rings R with simple Lie ring LDerR of all Lie derivations, reduced noncommutative Noetherian ring R with the simple Lie ring DerR of all derivations and obtain some properties of 2-torsion-free rings R with the simple Lie ring JDerR of all Jordan derivations.
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页数：11
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