On weakly projective and weakly injective modules

نویسنده

  • Mohammad Saleh
چکیده

The purpose of this paper is to further the study of weakly injective and weakly projective modules as a generalization of injective and projective modules. For a locally q.f.d. module M , there exists a module K ∈ σ[M ] such that K ⊕N is weakly injective in σ[M ], for any N ∈ σ[M ]. Similarly, if M is projective and right perfect in σ[M ], then there exists a module K ∈ σ[M ] such that K ⊕ N is weakly projective in σ[M ], for any N ∈ σ[M ]. Consequently, over a right perfect ring every module is a direct summand of a weakly projective module. For some classes M of modules in σ[M ], we study when direct sums of modules from M satisfy property P in σ[M ]. In particular, we get characterizations of locally countably thick modules, a generalization of locally

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تاریخ انتشار 2010