FP-内射模的两个特征  

Two Characterizations of FP-injective Modules

作　　者：朱占敏[1] 

机构地区：[1]嘉兴学院数学系,浙江嘉兴314001

出　　处：《吉林师范大学学报（自然科学版）》2008年第3期58-59,65,共3页Journal of Jilin Normal University:Natural Science Edition

基　　金：湖北省教育厅重点科研项目(200529007)

摘　　要：本文证明了一个右R-模M是FP-内射的当且仅当对任意正整数n,由M导出的右Rn×n-模Mn×n是P-内射的,当且仅当对任意正整数n,由M导出的右Rn×n-模Mn×n是GP-内射的.For a right R-module M, the following statements are equivalent. First, MR is FP-injective. Second, For any positive integer n, the right R^n×n-module M^n×n n derived by M is P-injective. Last, For any positive integer n, the right R^n×n-module M^n×n derived by M is GP-injective.

关 键 词：FP-内射模 P-内射模 GP-内射模 

分 类 号：O153-3[理学—数学]