乘法模的Kothe根（英文）  

KOTHE RADICAL OF MULTIPLICATION MODULES

作　　者：王飞飞[1] 郑清月[1] 陈淼森[1] 

机构地区：[1]浙江师范大学数学系,金华321004

出　　处：《南京大学学报（数学半年刊）》2014年第1期22-31,共10页Journal of Nanjing University(Mathematical Biquarterly)

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.

关 键 词：乘法模 幂零子模 诣零子模 Kothe根 Kothe半单模 

分 类 号：O153.3[理学—数学]