SELF-CANCELLATION OF MODULES HAVING THE FINITE EXCHANGE PROPERTY
Self-cancellation of modules having the finite exchange property is introduced. If a right R-module M has the finite exchange property, it is shown that M has selfcancellation if and only if EndR(M) is a strongly separative ring. Using this result,some new characterizations of strong separativity are obtained.
作 者： CHEN Huanyin 作者单位： Department of Mathematics, Hunan Normal University, Changsha,410006, China 刊 名： 数学年刊B辑(英文版) ISTIC SCI 英文刊名： CHINESE ANNALS OF MATHEMATICS 年，卷(期)： 2005 26(1) 分类号： 关键词： Self-cancellation Strong separativity