We define and investigate T 11-type modules as a generalization of t-extending modules,
and modules satisfying C 11 condition. A module M is said to be T 11-type if every t-closed …

The well known Schröder–Bernstein Theorem states that any two sets with one to one maps
into each other are isomorphic. The question of whether any two (subisomorphic or) direct …

In this paper, we introduce the notion of t-epi-modules. An R-module M is called t-epi if every
t-closed submodule of M is a homomorphic image of M. Various properties of these modules …

In this paper, we introduce the notions of strongly t-semisimple modules and strongly t-
semisimple rings as a generalization of semisimple modules, rings respectively. We …

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 …

We introduce the notion of t-Rickart modules as a generalization of t-Baer modules. Dual t-
Rickart modules are also defined. Both of these are generalizations of continuous modules …

In this paper, we introduce the concept of sp-semisimple module. Let S be a semiradical
property, we say that a module M is sp-semisimple if for every submodule N of M, there …

In this paper, we introduce the notions of FI-semisimple, FI-t-semisimple and strongly FI-t-
semisimple modules. This is a generalization of semisimple modules. Many results …

A module $ M $ is called a $ C_ {21} $-module if, whenever $ A $ and $ B $ are submodules
of $ M $ with $ A\cong B $, $ A $ is nonsingular and $ B $ is a direct summand of $ M $, then …

In a recent paper, Türkoğlu have studied the rings admitting nonzero homomorphisms
between any two non-projective modules (property (T)). His work raises the following …