Generalized differential identities on prime rings and algebras

被引：1
|
作者：
Ansari, Abu Zaid [1 ]
Shujat, Faiza [2 ]
Fallatah, Ahlam [2 ]
机构：
[1] Islamic Univ Madinah, Fac Sci, Dept Math, Medina, Saudi Arabia
[2] Taibah Univ, Fac Sci, Dept Math, Medina, Saudi Arabia
来源：
AIMS MATHEMATICS | 2023年 / 8卷 / 10期
关键词：
prime ring; derivation; generalized derivation; differential identities; Banach algebra; DERIVATIONS;
D O I：
10.3934/math.20231159
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The goal of this study is to bring out the following conclusion. Let R be a noncommutative prime ring with 2(m + n)! torsion freeness and let m and n be fixed, non-negative integers and d, g be Jordan derivations on R. If xm+nd(x) + xmg(x)xn & ISIN; Z(R) or d(x)xm+n + xmg(x)xn & ISIN; Z(R) or xnd(x)xm + xmg(x)xn & ISIN; Z(R) then d = g = 0 follows for every x & ISIN; R.
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页码：22758 / 22765
页数：8
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