ON COMMUTATIVITY AND STRONG COMMUTATIVITY-PRESERVING MAPS

被引：123
|
作者：
BELL, HE
DAIF, MN
机构：
[1] BROCK UNIV,DEPT MATH,ST CATHARINES,ON L2S 3A1,CANADA
[2] UMM AL QURA UNIV,FAC EDUC,DEPT MATH,TAIF,SAUDI ARABIA
来源：
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 1994年 / 37卷 / 04期
关键词：
D O I：
10.4153/CMB-1994-064-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
If R is a ring and S C R, a mapping f:R --> R is called strong commutativity-preserving (scp) on S if [x,y] = [f(x),f(y)] for all x, y is-an-element-of S. We investigate commutativity in prime and semiprime rings admitting a derivation or an endomorphism which is scp on a nonzero right ideal.
引用
收藏
页码：443 / 447
页数：5
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