… f : A ↣ C in Mod R with C pure injective is a pure … projective module in Mod R is a direct sum
of indecomposable submodules by [B2, Theorem 4.10]. So all Gorenstein projective modules …

… In Section 3, we characterize C-covers in terms of C-pure sequences (Proposition 5);
when C is the class of T-torsionfree T-injective Rmodules we obtain a more precise result. In …

… -Leffler modules, that is, with locally pure-projective modules in … , the torsion-free separable
modules coincide with the pure … the notion of a c-pure submodule of a module M. Clearly, we …

… TS-modules and TS-modules with (r,). … modules and quasi-continuous modules. We show
that the entire decomposition theory of extending modules and quasi-continuous modules in …

… The next result provides a different view of looking at perfect rings by using injective modules.
As we know, these rings were originally described by projective modules and flat modules. …

… [1] For n = 0, we apply the classical result of Kaplansky saying that each projective module
is a direct sum of the countably generated ones. For n ≥ 1, it suffices to prove that for all M ∈ …

… things that C-pureinjective modules over A1 … projective modules, PI (dim = 3), Pz (dim =
I), P3 (dim = 1) and three indecomposable injective modules, each of which is a factor module …

… If R is right IF, then since R is left noetherian, R is an QF, and so Z is subprojective only to
projective modules. Then, by [8, Theorem 3.1], \(R\cong R_1\times R_2\) where \(R_1\) is a …

… A module N is pure-injective if it is injective over pure embeddings; and is C-pure-injective
if N “’ is … Since any projective module is a direct summand of a free module, the following is …

… the classes of all projective and all injective modules. Recently, many … module. By and large
they are attempting to discover test module whose tests injectivity (or projectivity) of modules […