Let $ R $ be a ring and $ M $ be a left $ R $-module. $ M $ is called generalized $\oplus $-
supplemented if every submodule of $ M $ has a generalized supplement that is a direct …

Let R be an associative ring with identity and M be unital non zero right R-module. M is
called H–supplemented module if given any submodule A of M there exist a direct summend …

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 …

Let R be a ring and M be a left R− module. We say that an R− module M is a generalized⊕−
δ− supplemented module if every submodule of M has a generalized δ− supplement which …

Throughout this paper R represents commutative ring with identity, and M is a unitary left R-
module. The purpose of this paper is to study a new concept,(up to our knowledge), named …

Let R be an associative ring with identity and let M be a unital left R-module. E. Akalan, G.
Birkenmeier and A. Tercan introduced the following concept. An R-module M is called a 𝒢 …

Throughout this paper R represents commutative ring with identity and M is a unitary left R-
module, the purpose of this paper is to study a new concept,(up to our knowledge), named …

In this paper, we introduce the notion of $ S $-$ M $-cyclic submodules, which is a
generalization of the notion of $ M $-cyclic submodules. Let $ M, N $ be right $ R $-modules …

Throughout this paper R represents an associative ring with identity and M is unitary right R-
module, the purpose of this paper is to study a new concept, named s-closed submodules. It …

In this paper, we introduce hollow modules with respect to an arbitrary submodule. Let M be
a non-zero module and T be a submodule of M. We say that M is aT-hollow module if every …