Relative Projective Modules With Relative To Fully Invariant Submodules And Its Dual

As a generalization of rad-N-projective modules and ?-N-projective modules,the concept of N- projective modules relative to F is introduced in chapter3,some basic properties are studied.It is shown that every right R- module is N- projective modules relative to F if and only if N=F+soc(N).In Chapter 4,the concept of N- projective modules co-relative to F,the dual concept of N- projective modules relative to F,is introduced,some conclusions of small R- projective modules are generalized.In Chapter 5,the concept of N- injective modules co-relative to F is introduced,basic properties are studied,some conclusions of soc-N-injective modules,s-N-injective modules and small injective modules are unified.