AN EQUATION RELATED TO TWO-SIDED CENTRALIZERS IN PRIME RINGS

被引：0

作者：

Fosner, Maja ^{[1
]}

Vukman, Joso ^{[2
]}

机构：

[1] Univ Maribor, Fac Logist, Celje 3000, Slovenia

[2] Univ Maribor, Fac Nat Sci & Math, Dept Math & Comp Sci, SI-2000 Maribor, Slovenia

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2009年 / 35卷 / 02期

关键词：

Prime ring; semiprime ring; functional identity; two-sided centralizer; D-FREE SUBSETS; FUNCTIONAL IDENTITIES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove the following result: Let R be a prime ring and let T : R -> R be an additive mapping satisfying the relation nT(x(n)) - T(x)x(n-1) + xT(x)x(n-2) + ... +x(n-1)T(x) for all x is an element of R, where n > 1 is some fixed integer. If char(R) = 0 or n <= char(R) not equal 2, then T is of the form T(x) = lambda x for all x is an element of Rand some fixed element lambda is an element of C, where C is the extended centroid of R.

引用

页码：353 / 361

页数：9

共 11 条

[1]

Beidar K. I., 1996, Pure Appl. Math., V196

[2] On functional identities and d-free subsets of rings.: I [J].