ON CENTRALIZERS OF PRIME RINGS WITH INVOLUTION

被引:0
|
作者
Ali, S. [1 ]
Dar, N. A. [2 ]
机构
[1] King Abdulaziz Univ, Fac Sci & Arts Rabigh, Dept Math, Jaddeh 21589, Saudi Arabia
[2] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
关键词
Prime ring; normal ring; involution; left centralizer; centralizer; AUTOMORPHISMS;
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 with involution *. An additive mapping T : R -> R is called a left(respectively right) centralizer if T(xy) = T(x)y (respectively T(xy) = xT(y)) for all x, y is an element of R. The purpose of this paper is to examine the commutativity of prime rings with involution satisfying certain identities involving left centralizers.
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页码:1465 / 1475
页数:11
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