Let R be any ring. We prove that every right R-module is coretractable if and only if R is right
perfect and every right R-module is small coretractable if and only if all torsion theories on R …

In this paper we introduce a generalization of M-small modules and discuss about the
torsion theory cogenerated by this kind of modules in category. We will use the structure of …

Bu çalışmanın amacı [FI] _ss-yükseltilebilir ve güçlü [FI] _ss-yükseltilebilir modüllerin bazı
temel özelliklerini göstermektir.(Güçlü)[FI] _ss-yükseltilebilir modüllerin direkt toplam …

H -Supplemented Sub Modules through Non-Cosingular Modules Page 1 1 Turkish Journal
of Computer and Mathematics Education Vol.12 No.14 (2021),1- 7 H -Supplemented Sub …

In this paper, we introduce and study the notion of T-δ-noncosingular modules. The aim of
this paper is to present some applications. Let R be a commutative ring. If RR is T-δ …

A module M is called an absolute co-coclosed (absolute co-supplement) module if
whenever M∼= T/X the submodule X of T is a coclosed (supplement) submodule of T. are …

Let R be a ring and M a right R–module. In this paper we prove that if M is weakly F-
supplemented, then every factor module and every F-coclosed submodule of M is again …

Abstract The submodule\overline {Z}(M)=\cap {NM/N is small in its injective hull} was
introduced by Talebi and Vanaja in 2002. A ring R is said to have property (P) if\overline …

Fully invariant submodules play an important designation in studying the structure of some
known modules such as (dual) Rickart and (dual) Baer modules. In this work, we introduce F …

In this work, we are interested in introducing a new generalization of lifting modules, namely
SSP-lifting modules. This definition generalizes two concepts lifting modules and SSP …