On complete pure-injectivity in locally finitely presented categories

Let C be a locally finitely presented additive category, and let E be a finitely presented pure-injective object of C. We prove that E has an indecomposable decomposition if and only if every pure epimorphic image of E is pure-injective if and only if the endomorphism ring of E is semiperfect. This extends a module-theoretic result which generalises the classical Osofsky Theorem.