A Note on Multiplicative (Generalized)-Derivations as 3-Homomorphisms on Prime Rings 3-Antihomomorphisms

被引：0
|
作者：
Ali, Shakir [1 ]
Dar, Nadeem Ahamd [2 ]
Khan, Abdul Nadim [1 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
[2] IUST, Dept Math, Dept Comp Sci & Engn, Awantipora 192301, Jammu & Kashmir, India
来源：
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2018年 / 42卷 / 02期
关键词：
Prime ring; Multiplicative (generalized)-derivation; 3-Homomorphism; 3-Antihomomorphism;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let R be a ring. An additive mapping f : R -> R is called 3-homomorphism (resp. 3-antihomomorphsm) on R if f(xyz) = f(x) f(y) f(z) (resp. f(xyz) = f(z) f(y) f(x)) for all x, y, z is an element of R. In the present paper, we characterize multiplicative (generalized)-derivation which acts as a 3-homomorphism or as a 3-antihomorphism on an appropriate subset of a ring R.
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页码：151 / 156
页数：6
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