摘要
本文将有关环的幂零和指零理想的结论推广到乘法模.定义和刻画了乘法模的Kothe根并研究了Kothe半单乘法模的相关性质.
In this paper,we firstly extend some results of the nilpotent and nil ideals of rings to multiplication modules by investigating the nilpotent and nil submodules of multiplication modules.Then define and characterize the Kothe radical of a multiplication module and finally obtain some related results of Kothe semisimple modules.
出处
《南京大学学报（数学半年刊）》
CAS
2014年第1期22-31,共10页
Journal of Nanjing University(Mathematical Biquarterly)
关键词
乘法模
幂零子模
诣零子模
Kothe根
Kothe半单模
multiplication modules
nilpotent submodules
nil submodules
Kothe radical
Kothe semisimple modules
