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.
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页码：259 / 265
页数：7
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