摘要
引入了N-左遗传环的概念,给出了NoetherN-左遗传环的等价命题,并利用NoetherN-左遗传环对凝聚环和N-半单环进行刻画。
The concept of N-left hereditary rings is introduced,the equivalence theorem of Noether N-left hereditary rings is given,and coherent rings,QF rings and N-semisimple rings via Noether N-left hereditary rings are characterized.
出处
《长春大学学报》
2006年第2期51-52,共2页
Journal of Changchun University
关键词
N-左遗传环
N-内射模
N-投射模
N-半单环
N-left hereditary rings
N-injective module
N-projective module
N-semisimple rings
