A module is extending (or CS, C1) if every complement submodule is a direct summand or,
equivalently, every submodule is essential in a direct summand. The terms extending and …

Goldie-Rad-Supplemented Modules Page 1 DOI: 10.2478/auom-2014-0059 An. St. Univ.
Ovidius Constanta Vol. 22(3),2014, 205–218 Goldie-Rad-Supplemented Modules Yahya …

In present work, we describe and investigate torsion theoretic versions of-supplemented
modules via a hereditary torsion theory. With this aim, first, we define-small submodules. On …

Let M be a right R-module and τ a preradical. We call M τ-H-supplemented if for every
submodule A of M there exists a direct summand D of M such that (A+ D)/D⊆ τ (M/D) and …

Let R be a ring and M be an R-module. M is called⊕ ss-supplemented if every submodule of
M has a ss-supplement that is a direct summand of M. In this paper, the basic properties and …

In generalizing the well-established notion of projective cover, the notions of D3-cover and
rad-projective cover were recently introduced and new characterizations of perfect and …

Özet Bu çalışmada, Goldie ss-yükseltilebilir modüller kavramının birtakım özellikleri ve bu
modül sınıfının genellemeleri (Gömleksiz ve Nişancı Türkmen, 2023) adlı makalede …

Let R be a ring. A collection of R-modules containing the zero module and closed under
isomorphisms will be denoted by X. An R-module M is said to be X-lifting if for every X …

Let M be a right R-module. We call M Rad-D12, if for every submodule N of M, there exist a
direct summand K of M and an epimorphism α: K→ M/N such that Kerα⊆ Rad (K). We show …

β -Relation and Goldie-Rad-Supplemented Modules Page 1 β ∗∗ -Relation and Goldie-Rad-Supplemented
Modules Yahya Talebi Department of Mathematics, University Of Mazandaran, Babolsar …