摘要
对文献[1]中定义的结合环的近似P 根做了进一步地研究,证明了近似P 根为零的环的构造定理:近似P 半单纯环恒同构于一组近似P 半单素环的一个亚直接和.利用这个构造定理,给出了近似P 根的模刻划.最后证明了近似P 根为特殊根.
In this paper,we give a further study on the near Pradical defined in [1] and prove the structure theorem of the ring which near Pradical is zero.The content of the thoerem is that every near Psemisimple ring is isomorphic with a subdirect sum of near Psemiprime rings.Using this theorem,the module theoretic characterization of near Pradical is given.At last,that near Pradical is a special radical is proved.
出处
《沈阳工业大学学报》
EI
CAS
2003年第5期445-448,共4页
Journal of Shenyang University of Technology
