摘要
给出了忠实乘式模的极小子模表达式、模为有限生成乘式模的若干个充要条件、有限生成忠实乘式模的等价刻画和ｓｅｍｉｌｏｃａｌ环、ＶｏｎＮｅｕｍａｎｎｒｅｇｕｌａｒ环上乘式模的形态。
The form of the minimal submodule of faithful multiplication module is obtained,several sufficient and necessary conditions of M being finitely generated multiplication module are given,the equivalent descriptions of finitely generated faithful multiplication module is given,the form of multiplication module on semilocal ring and Von Neumann regular ring are obtained.
出处
《烟台师范学院学报（自然科学版）》
1995年第2期19-22,共4页
Yantai Teachers University journal(Natural Science Edition)
关键词
交换环
乘式模
极大理想
模
极小子模
communicative ring, multiplication module ,maximal ideal
