摘要
本文证明了如下结果：环Ｒ是Ａｒｔｉｎ半单的当且仅当存在一个基数ｃ，使得任意左Ｒ－模是一个连续模和一个ｃ－限制的ＥＳ－模的直和，也当且仅当存在一个基数ｃ，使得任意左界Ｒ－模是一个拟投射模和一个ｃ－限制的ＥＳ－模的直和。
It is proved that R is Artinian semisinple if and only if there exists a cardinalc such that every left R-module is the direct sum of a continuous module and a c-limitedES-module if and only if there exists a cardinal c such that every left R-module is thedirect sum of a quasi-projective module and a c-limited ES-module.
关键词
连续模
阿丁半单环
c限制
ES模
Artinian semisunple ring, continuous module, c-limited ES-module.
