Let $\cal F $ be a left Gabriel topology on a ring $ R $ and $\cal X $ be a special class of left
$ R $-modules (for example, the class of all quasi-continuous left $ R $-modules in $\sigma …

Let M and N be modules. Then N is said to be direct M-injective if every submodule of M that
is isomorphic to a direct summand of N is a direct summand of M. Also, we call N an M …

In this paper we show thata direct decomposition of modules MN, with N homologically
independent to the inJective hull of H, is a CS-module if and only if N is injective relative to H …

Abstract A right R-module N is called pseudo semisimple-M-injective if for any
monomorphism from every semisimple submodule of M to N, can be extended to a …

Let M be a right R-module. A right R-module N is called small principally M-injective (briefly,
SP-M-injective) if, every R-homomorphism from a small and principal submodule of M to N …

Relative continuity of direct sums of M-injective modules Page 1 BULL. AUSTRAL. MATH.
SOC. 16P40 VOL. 62 (2000) [51-56] RELATIVE CONTINUITY OF DIRECT SUMS OF M-INJECTIVE …

Let M and N be two modules. M is called essentially pseudo N-injective if for any essential
submodule A of N, any monomorphism f: A → M f: A→ M can be extended to some g ∈ Hom …

In this paper, we study the notions (strongly) soc-injective,(strongly) simple-injective and
(strongly) mininjective modules in σ [M]. For any module N in σ [M], N is strongly mininjective …

New Characterization of σ-Injective Modules Page 1 PROCEEDINGS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 136, Number 10, October 2008, Pages 3461-3466 S …

We introduce the notion of almost pseudo-injective modules (AP-injective modules), which
generalizes the idea of pseudo-injective and almost injective modules. In support, we …