On some equations in prime rings

被引：19
|
作者：
Fosner, Maja
Vukman, Joso
机构：
[1] Univ Maribor, Fac Logist, Celje 3000, Slovenia
[2] Univ Maribor, Fac Sci & Math, Dept Math & Comp Sci, SI-2000 Maribor, Slovenia
来源：
MONATSHEFTE FUR MATHEMATIK | 2007年 / 152卷 / 02期
关键词：
prime ring; semiprime ring; functional identity; derivation; Jordan derivation; involution; bicircular projection;
D O I：
10.1007/s00605-007-0464-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main purpose of this paper is to prove the following result. Let R be a prime ring of characteristic different from two and let T : R -> R be an additive mapping satisfying the relation T(x(3)) = T(x)x(2) - xT(x)x + x(2) T(x) for all x is an element of R. In this case T is of the form 4T(x) = qx + xq, where q is some fixed element from the symmetric Martindale ring of quotients. This result makes it possible to solve some functional equations in prime rings with involution which are related to bicircular projections.
引用
收藏
页码：135 / 150
页数：16
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