Pseudo Finitely Quasi-Injectivesystems over monoids.

- . The notion of pseudo injectivity relative to a class of finitely generated subsystems namely pseudo finitely quasi injective systems over monoidsis introduced and studied which is proper generalization of pseudo injective systems. Several properties of this kind of generalization as well as their characterizations are discussed. Conditions under which subsystems of pseudo finitely quasi injective system inherit this property. The relationship between the classes of pseudo finitely quasi injective with other classes of injectivity are studied. - See more at: .