摘要
本文联系范畴论讨论了关于模的直和分解的著名Krull-Remak-Schmidt-Azumaya定理。特别是要研究M.Harada定义的商范畴的方法,并应用这一方法给出Matlis问题的一些结果。
In this paper we s udy the famous Krull-Remak-Schmidt-Azumaya theorem concerning direct decompos tions of modules in the context of theory of categories. Specially we shall study the method of factor categories, defined by M. Harada, and apply this me hod to get some results of Matlis's probiem.
出处
《北方交通大学学报》
CSCD
北大核心
1989年第3期96-101,共6页
Journal of Northern Jiaotong University
关键词
模
直和分解
商范畴
module, dijee decomposition, factory categoiy.
