|
|
| |
| SELF-CANCELLATION OF MODULES HAVINGTHE FINITE EXCHANGE PROPERTY |
| |
Citation： |
CHEN Huanyin.SELF-CANCELLATION OF MODULES HAVINGTHE FINITE EXCHANGE PROPERTY[J].Chinese Annals of Mathematics B,2005,26(1):111~118 |
| Page view： 1150
Net amount： 890 |
Authors： |
CHEN Huanyin; |
|
|
| Abstract： |
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 ${End}_R(M)$ is a strongly separative ring. Using this result,
some new characterizations of strong separativity are obtained. |
Keywords： |
Self-cancellation, Strong separativity |
Classification： |
16E50, 16U99 |
|
|
Download PDF Full-Text
|
|
|
|
