… The phantom cover is used to characterize when this functor is faithful or full… cover of every
module has a pure injective kernel; this is equivalent to the flat cover being the phantom cover…

… -injective modules and of FPn-flat modules are both covering and preenveloping over any
ring R. This includes the case of FP∞-injective … is closed under extensions, then it is covering. …

… After giving a criterion of mutually almost relative projectivity … tive hulls in [14], but we can
not take here projective covers. … any h:V'-^U (U is called M-injective if we have only 1) [3]). The …

… cover and gives its basic properties. If a module has a projective cover, then it also has a
codivisible cover relative … )-module; and every module in F is injective as an R-module. Thus, if f:…

… such as the computation of relative derived functors. Covering classes arise as a sharpening
of … The fp-injective left-modules had already been proved to be preenveloping by Adams [1], …

… cover and its facial submanifolds. In particular, we can determine when a facial submanifold
of a small cover is |$\pi _1$|-injective … _1$|-injectivity of a facial submanifold in a small cover: …

… injective submodules. … -cover, and every right R-module has an MF-preenvelope. Furthermore,
we prove that R is left maxinjective if and only if any left R-module has an epic MI -cover, if …

… the class of Gorenstein injective modules is closed under … injective complexes is covering
in Ch(R) if and only if every complex of Gorenstein injective modules is dg-Gorenstein injective. …

… from GL2 to its two-fold cover. In each of these instances a … Let dx be a Haar measure on
k which is self dual relative to T… Let Ku be the completion of K relative to a prime v in K. Let T …

… covers and envelopes are primarily investigated for cotorsion pairs, in dealing with projective
dimension 1 covers … of weak-injective modules are again weak-injective — this follows at …