… on completely reducible modules to quasi-injective modules by replacing “irreducible …
To this end, a number of concepts and results on quotient rings (which are given by Johnson…

… It is known that R/N is completely reducible if R is … quasi-injective module. It is known
that if R is left Artinian, then it is left Noetherian and has only a finite number of simple ϋί-modules. …

… rings of noetherian quasi-injective modules. As an application of it, we consider, in this paper,
quasi-injective modules over a commutative ring … is i^-irreducible, HomK(NJN2> M)Φθ. If M …

… A module M is said to be quasi-injective if every … second section that the quasi-injective
module is the proper … Tate connecting annihilators in a ring and its module. This result is used in …

… of a quasi-injective module is quasi-injective, we have the corollary from Proposition 1.5. If we
consider R as a left R-module, … a quasi-injective module M and its injective envelope E(M). …

… for quasi-injective modules. Several conditions are given which imply that a quasi-injectixe
module is … Finally, we consider applications to compressible modules and rings without the …

… A ring R is regular [completely reducible] if and only if the character … Here we will prove
additional ring characterizations using quasiprojective and quasi-injective modules. In what …

… we study quasi-injective modules and quasi-projective modules over those (hnp) rings which
… As X/XN is an irreducible right i^-module, X/XN = etR/eiN for some i\ then by [15, p. 3] there …

… pseudo-injective module which is not quasiinjective was given … copies of a quasi-injective
module is quasi-injective. We … -injective module M is pseudo-injective then M is quasi-injective…

… rings for which all modules in one of the following classes are injective: simple modules,
quasi-injective modules, or proper cyclic modules… We recall that a module A is quasi-injective …