Let M be a module and N, K submodules of M. N is called a generalized supplement of K in
M if, M= N+ K and N∩ K≤ Rad (N). A module M is called a generalized supplemented …

Let R be a ring and M a right R-module. It is shown that:(1) M is Artinian if and only if M is a
GAS-module and satisfies DCC on generalized supplement submodules and on small …

On essential g-supplemented modules Page 35 ON ESSENTIAL g-SUPPLEMENTED
MODULES Celil Nebiyev 1, Hasan Hüseyin Okten 2 Abstract. Let M be an R− module. If …

Following the concept of generalized small submodule, we define $ g $-supplemented
modules and characterize some fundamental properties of these modules. Moreover, the …

In this work, we define weakly g-supplemented modules and cofinitely weak g-
supplemented modules. We investigate some properties of these modules. We show that the …

In this work⊕− g− supplemented modules are defined and some properties of these
modules are investigated. It is proved that the finite direct sum of⊕− g− supplemented …

In this work g-radical supplemented modules are defined which generalize gsupplemented
modules. Some properties of g-radical supplemented modules are investigated. It is proved …

The first part of this paper investigates the structure of δ-local modules. We prove that the
following statements are equivalent for a module M:(i) M is δ-local;(ii) M is a coatomic …

In this work, strongly⊕− g− radical supplemented modules are defined and some properties
of these modules are investigated. Every ring has unity and every module is unital left …

Let M be a right R-module. We call MH-cofinitely supplemented if for every cofinite
submodule A of M (ie the factor module M/A is finitely generated) there exists a direct …