In this paper, we introduce and study the dual notion of simple-direct-injective modules.
Namely, a right R-module M is called simple-direct-projective if, whenever A and B are …

In this paper, we study the class of modules having the property that if any pure submodule
is isomorphic to a direct summand of such a module then the pure submodule is itself a …

In this article, we study the C 4-and D 4-modules in terms of perspective direct summands,
providing new characterizations and results. Endomorphism rings of C 4-modules and …

It is well known that if every cyclic right module over a ring is injective, then the ring is
semisimple artinian. This classical theorem of Osofsky promoted a considerable interest in …

Recently, in a series of papers “simple” versions of direct-injective and direct-projective
modules have been investigated. These modules are termed as “simple-direct-injective” and …

We introduce and investigate t-continuous modules. A module M is called t-continuous if M
is t-extending, and every submodule of M which contains Z 2 (M) and is isomorphic to a …

ABSTRACT A right R-module M is called simple-direct-injective if, whenever, A and B are
simple submodules of M with A≅ B, and B⊆⊕ M, then A⊆⊕ M. Dually, M is called simple …

In this paper, we generalize the concept of direct-injective modules to fi nite-direct-injective
modules. Various basic properties of these modules are studied. We show that the class of fi …

In this paper, we investigate some properties of SIP, SSP and CS-Rickart modules. We give
equivalent conditions for SIP and SSP modules; establish connections between the class of …

提出了tG 补子模的概念, 它与t-闭子模是等价的. 讨论了tGextending 模的直和因子的内射性,
研究了tGextending 模的直和, 证明了M=􀱇 i∈ IMi (| I|≥ 2) 是tGextending 模的等价条件有以下两 …