Derivations on semiprime rings

被引:15
作者
Vukman, J [1 ]
机构
[1] UNIV MARIBOR,DEPT MATH,MARIBOR 62000,SLOVENIA
关键词
D O I
10.1017/S000497270001710X
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The main result: Let R be a 2-torson free semiprime ring and let D : R --> R be a derivation. Suppose that [[D(x), x], x] = 0 holds for all x epsilon R. In this case [D(x), x] = 0 holds for all x epsilon R.
引用
收藏
页码:353 / 359
页数:7
相关论文
共 7 条
[1]   CENTRALIZING MAPPINGS AND DERIVATIONS IN PRIME-RINGS [J].
BRESAR, M .
JOURNAL OF ALGEBRA, 1993, 156 (02) :385-394
[3]  
Bresar M, 1989, RADOVI MAT, V5, P246
[4]  
BRESAR M, 1992, P AM MATH SOC, V14, P641
[5]   AN ENGEL CONDITION WITH DERIVATION [J].
LANSKI, C .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 118 (03) :731-734
[6]  
Posner E. C., 1957, P AM MATH SOC, V8, P1093, DOI [10.1090/S0002-9939-1957-0095863-0, DOI 10.1090/S0002-9939-1957-0095863-0]
[7]  
VUKMAN J, 1990, P AM MATH SOC, V109, P47