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.

引用

页数：11

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