On M-injective and M-projective Modules

Year 2020, , 46 - 50, 20.03.2020

Yusuf Alagöz

https://doi.org/10.36753/mathenot.630031

Cited By: 2

Abstract

In
this study, the concept of m-projective modules is introduced. A right R-module
M is said to be m-projective if Ext(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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