弱Gorenstein FP-内射模  

Gorenstein FP-Injective Modules

作　　者：陈文静[1] 杨晓燕[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：《四川师范大学学报（自然科学版）》2014年第4期477-481,共5页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(11261050)资助项目

摘　　要：研究了弱Gorenstein FP-内射模,证明了凝聚环上弱Gorenstein FP-内射模是强Gorenstein FP-内射模的直和项,利用弱Gorenstein FP-内射模对FP-自内射环进行了刻画,讨论了凝聚环上FP-内射模类、Gorenstein FP-内射模类和弱Gorenstein FP-内射模类三者之间的联系.Weak Gorenstein FP-injective modules are investigated. It is proved that a weak Gorenstein FP-injective module is a di- rect summand of a strongly Gorenstein FP-injective module over coherent rings. Moreover, self-FP-injective rings are characterized in terms of weak Gorenstein FP-injective modules, and some connections among the classes of FP-injective modules, Gorenstein FP-injec- tive modules and weak Gorenstein FP-injective modules over coherent rings are discussed.

关 键 词：弱Gorenstein FP-内射模 FP-内射模 凝聚环 

分 类 号：O153.3[理学—数学]