有理模及其对偶空间的最大有理子模

Rational Module and Maximal Rational Submodule of Its Dual Space

讨论有理左Ｃ＊模和右Ｃ余模之间的关系并给出一个Ｃ＊模成为有理Ｃ＊模的充要条件。证明了每个非有理的Ｃ＊模Ｍ都含有唯一的一个最大有理子模Ｍ￣ｒａｔ，并对有理模Ｍ的对偶空间Ｍ＊的最大有理子模Ｍ￣ｒａｔ进行了刻划。

The relation between left C* -modules and right C-modules is discussedand a sufficient and necessary condition for a C* -module to be rational module isgiven. It is shown that every (t* Almodule M has an unique maximal rational submodule,denoted Mrat, M * rat is charctel'ized where M is as a rational C* -module.