Commuting traces of multiadditive mappings

被引：42

作者：

Lee, PH ^{[1
]}

Wong, TL ^{[1
]}

Lin, JS ^{[1
]}

Wang, RJ ^{[1
]}

机构：

[1] NATL TSING HUA UNIV,DEPT MATH,HSINCHU,TAIWAN

来源：

JOURNAL OF ALGEBRA | 1997年 / 193卷 / 02期

关键词：

D O I：

10.1006/jabr.1996.7016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a prime ring and M an n-additive mapping on R such that [M(x,..., x), x] = 0 for all x is an element of R. If char R = 0 or > n, then there exist mappings mu(i) of R into the extended centroid C of R such that M(x,...,x) = Sigma(i=0)(n)mu(i)(x)x(n-i) for all x is an element of R. If, in addition, R is not algebraic of bounded degree less than or equal to n, then for each i there exists an i-additive mapping M-i of R-i into C such that mu(i)(x) = M-i(x,..., x) for all x is an element of R. (C) 1997 Academic Press.

引用

页码：709 / 723

页数：15

共 6 条

[1] LIE ISOMORPHISMS IN PRIME-RINGS WITH INVOLUTION [J].