关于n-强Gorenstein FP-内射模的注记  

Remarks on n-strongly Gorenstein FP-injective modules

作　　者：陈文静[1] 刘仲奎[1] 

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《山东大学学报（理学版）》2014年第4期50-54,共5页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11261050)

摘　　要：研究了n-强Gorenstein FP-内射模,证明了在左凝聚的右IF环上一个模M是n-强Gorenstein FP-内射模当且仅当对任意投射模N,NM是n-强Gorenstein FP-内射模,并证明了在左右IF环上一个模M是n-强Gorenstein FP-内射模当且仅当M是n-强Gorenstein平坦模。N-strongly Gorenstein FP-injective modules are investigated, that M is a n-strongly Gorenstein FP-injective module if and only if N M is a n-strongly Gorenstein FP-injective module for any projective module N over left coher- ent rings which are right IF rings is proved, and that M is a n-strongly Gorenstein FP-injective module if and only if M is a n-strongly Gorenstein flat module over left and tight IF tings is proved.

关 键 词：n-强Gorenstein FP-内射模 强Gorenstein FP-内射模 凝聚环 IF环 

分 类 号：O153.3[理学—数学]