Du Xianneng和Chen Zhengxin用Gorenstein内射模刻画了Gorenstein环.作者根据Gorenstein投射模来刻画Gorenstein环,利用推出图,得到了定理3.由该文可以看出n-Gorenstein环与Gorenstein投射模的对应关系.在此基础上,又得到了定理4中的两个结论的等价性,在一定意义上拓展了Gorenstein投射模的有关结论.
The denition of principally pseudo injectivity motivates us to generalize the notion of injectivity, noted SP pseudo injectivity. The aim of this paper is to investigate characterizations and properties of SP pseudo injective modules. Various results are developed, many extending known results. As applications, we give some characterizations on Noetherian rings, QI rings, quasi-Frobenius rings.
