… such that the injective hull of only the cyclic right R-module R / J 2 is a DSF -module then R is
… , and so each of the homogeneous components S i is simple. This shows that M / MJ ( R ) is …

… modules, calling them Ding injective modules (in [10]). The definition uses FP-injective
modules, so we recall first that a module … exact complexes of injective modules that remain exact …

… Next, we show that eiR is either simple or injective with the length of two. In fact, for any …
First we note that if RR is an almost injective module with finite Goldie dimension then R is a …

… In this section, we introduce and study two concepts namely simple and semi-simple
modules and related to Co-… If every weakly injective module is injective; then M is a Co-retractable …

… When we simply write M, we assume that M is a left R-module. … In this section, we
extend classical results of pure-injective and †-pure-injective modules to the class of s-torsion …

… quasiinjective modules as those modules that are invariant under any endomorphism of
their injective … A nonzero module M is said to be a simple module if it has no nonzero proper …

… -subprojective for every pure-injective module E. Moreover, … right ideal, if every simple module
is either pure-projective or psp… of a module contains the class of all pure-injective modules. …

… Injective modules and semiartinian modules are obvious examples of sa-supplementing …
Obviously, simple modules are local. Recall that for a maximal submodule U of a …

… “injective torsion”; more often though we simply use the term “torsion”. In Section 2, we define
the torsion submodule of a module as the injective … of the class of injective modules. Before …

… gories cogenerated by projective-injective modules (see 2.36) … simple modules. The socle
and the top of an indecomposable Λ-module M are the simple submodule of M and the simple …