Let \(R\) be a ring and \(p\) be a prime ideal. The paper under review studies injective hulls of \(R/p\) with respect to torsion theories \(\tau\). A \(\tau\)-injective module is then a module which is injective with respect to monomorphisms with \(\tau\)-torsion cokernel. A module \(M\) is \(\tau\)-cocritical if \(M\) is \(\tau\)-torsion free and all proper quotients \(M/N\) are \(\tau\)-torsion. The author proves amongst other statements that if \(R/p\) is \(\tau\)-cocritical then the field of fractions of \(R/p\) is isomorphic to the \(\tau\)-injective hull of \(R/p\). Moreover, for \(R\) commutative the case of the torsion theory generated by modules of Krull dimension at most \(n\) is studied in some detail.