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 …

Recently, there are a number of well known theorems which characterize rings in terms of
injective modules (cf.[2],[3],[5] and [8]). The purpose of this paper is to give general theorems …

In the previous paper [4] the author and T. Ishii studied the endomorphism rings of
noetherian quasi-injective modules. As an application of it, we consider, in this paper, quasi …

\S 0. Introduction. The main purpose of this paper is to extend some results on completely
reducible modules to quasi-injective modules by replacing “irreducible submodules” with …

Quasi-principally injective modules were studied in [12]. In this note we introduce the
concept dual to quasi-principally injective modules. It is proved that. these modules are …

The concept of a module M being almost N-injective, where N is some module, was
introduced by Baba (1989). For a given module M, the class of modules N, for which M is …

MIXED INJECTIVE MODULES Page 1 Glasgow Math. J. 52A (2010) 111–120. C Glasgow
Mathematical Journal Trust 2010. doi:10.1017/S0017089510000182. MIXED INJECTIVE …

Let R be a ring. A right R-module M is called quasi-principally(or semi-) injective if it is M-
principally inj ective. In this paper, we show:(1) The following are equivalent for a projective …

It is well known that over a left Notherian ring any direct sum of injecive modules is again
injective, and every injective module is a direct sum of indecomposable modules. Faith [6] …

The notation in this paper will be standard and it may be found in [2] or [8]. Throughout the
paper, the notation A⊂'B will mean that A is an essential submodule of the module B. Given …