SR-投射模与SR-内射模  

SR-projective Modules and SR-injective Modules

作　　者：牟欣[1] 

机构地区：[1]白城师范学院数学系,吉林白城137000

出　　处：《吉林师范大学学报（自然科学版）》2008年第1期63-64,66,共3页Journal of Jilin Normal University:Natural Science Edition

基　　金：吉林省教育厅十一五科技项目

摘　　要：通过引入半自反模,给出了SR-投射模与SR-内射模的概念,并且分别研究了它们的性质.把投射模对直和,直和项,模扩张封闭等性质推广到了SR-投射模上;利用对偶性,讨论了SR-内射模,并发现SR-内射模和内射模的等价.By means of introducing semi-reflexive modules, we give the concept of SR-projective modules and SR-injective modules. And we also discuss their properties respectively, The properties of projective modules that keep direct sum, direct summand, extension and so on are generalized to SR-projective modules. According to dual property, we mainly discuss the properties of SR-injective modules, then we find the equivalence between the SR-injective modules and injective modules, so we get a new equivalent definition of injective modules.

关 键 词：半自反模 SR-投射模 SR-内射模 

分 类 号：O153[理学—数学]