In this paper, an R-module M is called FR-injective if \(\textrm{Ext}_R^1(F,M)=0\) for every finitely generated reflexive R-module F. We generalize some properties of FP-injective modules to FR-injective modules, consider the relationships between injective modules, FP-injective modules and FR-injective modules, gives some characterizations of ( \(\Pi \) -coherent) rings with property that all finitely generated reflexive modules are projective, and show that a coherent domain is a Prüfer domain if and only if it is an 1-FC domain with finite weak global dimension, a coherent domain R is of \(w.gl.dim(R)\le 2\) if and only if every (finitely generated) ideal of R is FR-injective, and a noetherian domain is 2-Gorenstein if and only if R is self FR-injective. Finally, we discuss some properties of \(\mathcal {I_{FR}}\) -covers and \(\mathcal {I_{FR}}\) -envelopes, where \(\mathcal {I_{FR}}\) denotes the class of all FR-injective modules.
