In this paper, copure-injective modules is examined from an alternative perspective. For two
modules A and B, A is called B-subcopure-injective if for every copure monomorphism f: B→ …

In this paper, we have introduced copure-direct-injective modules. A right R-module M is
said to be copure-direct-injective if every copure submodule of M isomorphic to a direct …

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

PM Cohn [6] has defined the notion of a pure submodule. Subsequently CP Walker [21], B.
StenstrSm [19] and DP Choudhury and K. Tewari [5] have introduced notions of copurity as …

The study of pure-injectivity is accessed from an alternative point of view. A module M is
called pure-subinjective relative to a module N if for every pure extension K of N, every …

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 …

The subjectivity domain of a module allows us to evaluate how close (or far) a module is
from being injective. In this paper, we consider three families of rings characterized by their …

In this paper, copure-injectively poor modules are introduced as modules whose copure-
injectivity domains are minimal. Rings over which every module is copure-injectively poor …

Given modules M and A, M is said to be A-RD-subinjective if for every RD-extension B of A,
every f∈ Hom (A, M) extends to Hom (B, M). For a module M, the RD-subinjectivity domain …

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 …