Derivations in differentially prime rings

被引：4

作者：

Al Khalaf, Ahmad ^{[1
]}

Artemovych, Orest D. ^{[2
]}

Taha, Iman ^{[3
]}

机构：

[1] Ibn Saud Islamic Univ, Coll Sci Al Imam Mohammad, Dept Math, POB 90950, Riyadh, Saudi Arabia

[2] Cracow Univ Technol, Inst Math, Ul Warszawska 24, PL-31155 Krakow, Poland

[3] Elect Univ, 4508 Prince Sand Bin Mohammed Bin Muqrin Rd, Riyadh 13316, Saudi Arabia

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2018年 / 17卷 / 07期

关键词：

Derivation; prime ring; Lie ring; LIE-RINGS; COMMUTATIVE RINGS; IDEALS;

D O I：

10.1142/S0219498818501293

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Earlier properties of Lie rings DerR of derivations in commutative differentially prime rings R was investigated by many authors. We study Lie rings DerR in the non-commutative case and shown that if R is a D-prime ring of characteristic not equal 2, then D is a prime Lie ring or R is a commutative ring.

引用

页数：12

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