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

页码：443 / 447

页数：5

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