Maps characterized by action on zero products

被引:102
作者
Chebotar, MA [1 ]
Ke, WF
Lee, PH
机构
[1] Tula State Univ, Dept Mech & Math, Tula, Russia
[2] Natl Cheng Kung Univ, Dept Math, Tainan 70101, Taiwan
[3] Natl Taiwan Univ, Dept Math, Taipei 10764, Taiwan
关键词
D O I
10.2140/pjm.2004.216.217
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
For prime rings containing nontrivial idempotents, we describe the bijective additive maps which preserve zero products. Also, we describe the additive maps which behave like derivations when acting on zero products.
引用
收藏
页码:217 / 228
页数:12
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