D- Semiprime Rings

被引：0

作者：

Alosaimi, Maram ^{[1
]}

Al Khalaf, Ahmad ^{[1
]}

Masri, Rohaidah ^{[2
]}

Taha, Iman ^{[1
]}

机构：

[1] Imam Mohammad Ibn Saud Islamic Univ, Fac Sci, Dept Math & Stat, Riyadh, Saudi Arabia

[2] Sultan Idris Univ, Fac Sci & Math, Dept Math, Tanjong Malim, Perak, Malaysia

来源：

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2024年 / 17卷 / 03期

关键词：

Derivation; semiprime ring; delta-semiprime ring; delta-ideal; PRIME LIE-RINGS; COMMUTATIVE RING; DERIVATIONS;

D O I：

10.29020/nybg.ejpam.v17i3.5210

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be an associative and 2-torsion-free ring with an identity. in this work, we will generaliz the results of differentially prime rings in [18] by applying the hypotheses in a differentially semiprime rings. In particular, we have proved that if R is a D- semiprime ring, then either R is a commutative ring or D is a semiprime ring.

引用

页码：2264 / 2275

页数：12

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