… The relative cases, for injective modules relative to a torsion theory, were introduced in [18].
In this paper C-covers … theories and injective (pre)covers relative to a torsion theory in R - gr. …

… has an injective cover. These injective covers have been also used for producing a relative
… for the existence of covers by the class of modules that are relatively injective with respect to …

… module has both a relative injective envelope and a relative projective cover. In addition,
we compare relative injective envelopes and relative projective covers on two ring extensions …

… deals with relative projective covers and relative syzygies. … of the relative Ext functor together
with the fact that the relative … r A similar result holds for relative injective rcdules. If now E …

Let m and n be fixed positive integers and M a right R-module. Recall that M is said to be (m,n)-injective
if for any (m,n)-presented right R-module P; M is called (m,n)-flat if for any (m,n)-…

… FP-injective); M is (0,d)-injective if and only if id(M) ≤ d; M is (n, n − 1)-injective for some n ≥
1 if and only if M is n-FP-injective … Let Θ: H → N be an (n, 0)-injective cover with the unique …

… injective and the r-injective cover are the same. At the end of this note we relate the concepts
of colocalization and cover. … in T-injective covers and T torsionfree er-injective covers in the …

… In order to show that each left R-module has a torsion free Injective cover, we proceed exactly
as … R relative to k. To argue that M is injective relative to R, we may use the arguments in …

… In the first section we introduce the notion of a relative injective cover. Then in the rest of
the article, this notion will be used to describe injective covers of representations of quivers. …

… injective left R -module is injective if and only if every n -copure flat right R -module is flat if
and only if every n -copure injective left R -module has a monic injective cover … injective covers …