摘要
引进了单投射模的概念,给出了单投射模的等价条件,并讨论了它的一些性质;进一步地,给出了左SP-环的定义,证明了SP-环是Morita不变的;接着,利用单投射模刻画了左V-环;最后给出了相对于单投射模的Schanuel引理.
It was defined the concept of a simple-projective modules. Some equivalent conditions and some characteristics of simple-projective modules were given ; Moreover, it was defined left SP-rings and proved that the left SP-rings were Morita invariant. Next, left V-rings were characterized by simple-projective modules; At last, Sehanuel Lemma of relatively simple-projective modules was proved.
出处
《浙江师范大学学报（自然科学版）》
CAS
2007年第4期410-415,共6页
Journal of Zhejiang Normal University:Natural Sciences
