Mathematical Journal of Okayama University Page 1 Mathematical Journal of Okayama
University Volume 51, Issue 1 2009 Article 6 A NOTE ON ALMOST INJECTIVE MODULES …

The notion of simple-direct-injective modules which are a generalization of injective
modules unifies $ C2 $ and $ C3 $-modules. In the present paper, we introduce the notion of …

Let M be an R-module, where R be a commutative; ring with identity. In this paper, we
defined a new kind of submodules, namely; ET-coessential and ET-Coclosed submodules of …

A module M is called N-almost-invariant for a module N if, for any homomorphism α: F→ E,
either α (N)⊆ M, or there exist nonzero direct summands F′ of F and E′ of E such that α …

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

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

Let R be a ring and M a right R-module with S= end (M< sub> R). Then M is called general
quasi-injective (briefly GQP-injective) if for any 0≠ s∈ S, there exists a positive integer n …

In this study, the concept of m-projective modules is introduced. A right R-module M is said
to be m-projective if Ext (M, N)= 0 for any m-injective right R-module N. We prove that every …

Let R be a ring and M a right R‐module with S= End (MR). The module M is called almost
principally quasi‐injective (or APQ‐injective for short) if, for any m∈ M, there exists an S …