Action of higher derivations on prime rings with involution

被引：0

作者：

Ali, Shakir ^{[1
]}

Alali, Amal S. ^{[2
]}

Varshney, Vaishali ^{[3
]}

Rafiquee, Naira Noor ^{[4
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh, India

[2] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia

[3] GLA Univ, Inst Appl Sci & Humanities, Mathura 281406, India

[4] Aligarh Muslim Univ, Fac Sci, Dept Math, Aligarh, India

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2025年

关键词：

Commutativity; involution; higher derivation; prime ring; COMMUTATIVITY;

D O I：

10.1515/gmj-2025-2012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we monitor the behavior of a prime ring with involution of second kind. Such rings are studied through the prism of higher derivations satisfying certain differential identities. Precisely, we prove that for a higher derivation D = ( d i ) i is an element of N boolean OR { 0 }, if we are able to establish the identity, d n [ x , x * ] is an element of Z ( R ) for a single positive integer n, then the structure exhibits certain interesting properties. Some similar looking results are also presented.

引用

页数：13

共 16 条

[1]

Alali A. S., 2024, J. Math, V2024

[2] Action of higher derivations on semiprime rings [J].