关于fp_n-内射覆盖

On fp_n-Injectve Covers

通过fpn-内射模类来研究模的fpn-内射覆盖,给出了单的fpn-内射覆盖的存在性刻画,证明了每个右R-模M都有单的fpn-内射覆盖φ:E→M当且仅当环R为右fpn-遗传环.

This paper mainly uses fpn^- injective right R- modules to investigate fpn^- injective covers, gives a characterization of the existences of monomorphie fpn^- injeetive covers of right R- modules,and proves that every R- module M has a monomorphie fpn^- injective cover φ：E→M M if and only if R is a right fpn^- hereditary ring.