SOME REMARKS ON DIFFERENTIAL IDENTITIES IN RINGS

被引：0

作者：

Raza, Mohd Arif ^{[1
]}

Alhazmi, Husain ^{[1
]}

Ali, Shakir ^{[2
]}

机构：

[1] King Abdulaziz Univ, Fac Sci & ATS RABIGH, Dept Math, Jeddah, Saudi Arabia

[2] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2021年 / 45卷 / 02期

关键词：

(Semi)-prime ring; derivation; Engel polynomial; maximal right ring of quotients; generalized polynomial identity (GPI); GENERALIZED DERIVATIONS; IDEMPOTENT VALUES; PRIME; COMMUTATORS;

D O I：

10.46793/KgJMat2102.259R

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let 1 < k and m, k is an element of Z(+). In this manuscript, we analyse the action of (semi)-prime rings satisfying certain differential identities on some suitable subset of rings. To be more specific, we discuss the behaviour of the semiprime ring R. satisfying the differential identities ([d([s ,t](m)), [s, t](m)])(k) = [d ([s, t](m)), [s, t](m)] for every s,t is an element of R.

引用

页码：259 / 265

页数：7

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