- Mathematical Sciences and Applications E-Notes
- Volume:8 Issue:1
- On M-injective and M-projective Modules
On M-injective and M-projective Modules
Authors : Yusuf ALAGÖZ
Pages : 46-50
Doi:10.36753/mathenot.630031
View : 46 | Download : 9
Publication Date : 2020-03-20
Article Type : Research Paper
Abstract :In this study, the concept of m-projective modules is introduced. A right R-module M is said to be m-projective if Extinsert ignore into journalissuearticles values(M,N);=0 for any m-injective right R-module N. We prove that every right R-module has a special m-projective precover and m-injective preenvelope. We characterize C-rings, SF-rings and max-hereditary rings using m-projective and m-injective modules.Keywords : m injective modules, m projective modules, max hereditary rings
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