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关于fpn^-内射覆盖
引用本文:颜星华.关于fpn^-内射覆盖[J].泉州师范学院学报,2008,26(6):9-12.
作者姓名:颜星华
作者单位:泉州师范学院应用科技学院,福建,泉州,362000
摘    要: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都有单的即。一内射覆盖φ:E→M当且仅当环R为右fpn^-遗传环.

关 键 词:fpn^-射模  覆盖  右fpn^-遗传环

On fpn-Injectve Covers
YAN Xing-hua.On fpn-Injectve Covers[J].Journal of Quanzhou Normal College,2008,26(6):9-12.
Authors:YAN Xing-hua
Institution:YAN Xing-hua (School of Applied Science and Technology,Quanzhou Normal University,Fujian 362000,China)
Abstract: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.
Keywords:fpn-injective  cover  right fpn-hereditary ring
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