On blow-ups and injectivity of quivers (Q1953529)

Summary: This work connects the idea of a ``blow-up'' of a quiver with that of injectivity, showing that for a class of monic maps \(\Phi\), a quiver is \(\Phi\)-injective if and only if all blow-ups of it are as well. This relationship is then used to characterize all quivers that are injective with respect to the natural embedding of \(P_{n}\) into \(C_{n}\).