关于多余余满可缩模On Superfluous Co-epi-retractable Modules
游艳艳;周德旭;
摘要(Abstract):
引入多余余满可缩模与本质满可缩模,得到了多余余满可缩模具有Morita不变性,证明了在Morita对偶下多余余满可缩模与本质满可缩模构成了Morita对偶对.同时研究了多余余满可缩环的性质,证明了右多余余满可缩的右PP环是半本原环.
关键词(KeyWords): 多余余满可缩模;本质满可缩模;半本原环
基金项目(Foundation):
作者(Authors): 游艳艳;周德旭;
参考文献(References):
- [1]Ghorbani A,Vedadi M R.Epi-retractable modules and some applications[J].Bull Iranian Math Soc,2009,35:155-166.
- [2]Ghorbani A.Co-epi-retractable modules and co-pri rings[J].Comm Algebra,2010,38:3589-3596.
- [3]Anderson F W,Fuller K R.Ring and categories of modules[M].2nd.New York:Springer-Verlag,1992.
- [4]Xue W.Rings with Morita duality[M].Berlin,Heidelberg,New York:Springer-Verlag,1992.
- [5]Xue W.On PP rings[J].Kobe J Math,1990,7:77-80.
- [6]Lam T Y.Lecture on modules and rings[M].New York:Springer-Verlag,1998.