Derivations in differentially δ-prime rings

被引：2

作者：

Taha, Iman ^{[1
]}

Masri, Rohaidah ^{[1
]}

Al Khalaf, Ahmad ^{[2
]}

Tarmizi, Rawdah ^{[1
]}

机构：

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

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

来源：

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2022年 / 15卷 / 02期

关键词：

Derivation; prime ring; delta-prime ring; delta-ideal; CENTRALIZING MAPPINGS; LIE; COMMUTATIVITY; PRODUCTS; IDEALS;

D O I：

10.29020/nybg.ejpam.v15i2.4344

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be an associative ring with identity. In this paper we extend the J.H. Maynes results, which he treatised in [27]. In particular, we prove that if R is a delta-prime ring with char R not equal 2 and I is a nonzero delta-ideal of R, where 0 not equal delta is an element of D, c is an element of R and [c, delta(c)] in the center of R, then R is commutative.

引用

页码：454 / 466

页数：13

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