Abstract: Let F be a functor from the category of finitely presented right R-modules to the category of Abelian groups. If there exists a strongly
 FP-injective left R-module M , then F is called a strongly SFP-injective functor. This paper adopts methods from homological algebra to study and characterize the homological properties of strongly SFP-injective functors. We prove that the class of strongly SFP-injective functors is closed under extensions and direct products, and the class consisting of strongly SFP-injective functors is an injective resolving class.

Key words: FP-injective module, strongly FP-injective module, strongly FP-injective functor, strongly SFP-injective functor