| In this paper, we give some characterizations of right FP-injective rings and IF rings. For example, (1) R is a right FP-injective ring iff ecery left R- module exact sequence:Kn→Kn→N→0, where N is torsionless module, iff Mn(R) is right P-injective ring, for each natural number n. (2) R is left IF ring iff every finitely generated left R-module is embeddable in a flat module. (3) R is IF ring iff R is pseudo-coherent and coflat ring. |
