As a mean to provide intrinsic characterizations of poor modules, the notion of a pauper
module is introduced. A module is a pauper if it is poor and has no proper poor direct …

POOR MODULES: THE OPPOSITE OF INJECTIVITY Page 1 Glasgow Math. J. 52A (2010) 7–17.
C Glasgow Mathematical Journal Trust 2010. doi:10.1017/S001708951000025X. POOR …

An analog of the injective profile of a ring, with relative injectivity replaced by relative pure-
injectivity, is investigated. Emphasis is placed on comparing and contrasting the properties …

In a recent paper by Wang and Ding, it was stated that any ring which is generalized
supplemented as a left module over itself is semiperfect. The purpose of this note is to show …

In this paper, we investigate modules whose elements of their injectivity domains satisfy the
fixed property p. In particular, quasi-poor modules as a generalization of poor modules are …

Since any right artinian ring with identity is right noetherian, this theorem generalizes the
classical Wedderburn-Artin theorem which states that a right artinian simple ring with identity …

Abstract A right R-module M is said to be finendo provided that as a left module over its
endomorphism ring it is finitely generated. Let B= End MR. Then B n→ M→ 0 is exact for …

In this work, impecunious modules are introduced as modules whose injectivity domains are
contained in the class of all pure-split modules. This notion gives a generalization of both …

We characterize right Noetherian rings over which all simple modules are almost injective. It
is proved that R is such a ring, if and only if, the complements of semisimple submodules of …

The representation theory of artinian rings has long been studied, and seldom more
intensely than in the past few years. However, with the exception of integral representations …