In this paper, we introduce strongly generalized (weakly) Î-supplemented modules. We call a
module strongly generalized (weakly) Î-supplemented (briefly Î-SGS (Î-SWGS)) if every …

Let R be an arbitrary ring with identity and M a right R-module. In this paper, we introduce a
class of modules which is an analogous of δ-supplemented modules defined by Kosan. The …

Let R be an arbitrary ring with identity and M a right R-module. In this paper, we introduce a
class of modules which is an analogous to δsupplemented modules and principally⊕ …

Abstract Let\(R\) be a ring, let\(M\) be a left\(R\)-module, and let\(U, V, F\) be submodules
of\(M\) with\(F\) proper. We call\(V\) an\(F\)-supplement of\(U\) in\(M\) if\(V\) is minimal in the …

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 …

Let M be a left module over a ring R and I an ideal of R. M is called an I-supplemented
module (finitely I-supplemented module) if for every submodule (finitely generated …

In this paper, we study S-essential submodules which are a generalization of essential
submodule of modules. Besides giving many examples and properties of S-essential …

Let $ M $ be a left module over a ring $ R $ and $ I $ an ideal of $ R $. $ M $ is called an $ I
$-supplemented module (finitely $ I $-supplemented module) if for every submodule (finitely …

In this paper, we introduce the concept of (amply) cofinitely ss-supplemented modules as a
proper generalization of (amply) ss-supplemented modules, and we provide various …

Let R be a ring and M a right R-module. M is called--δ⊕ supplemented, if every submodule
of M has a-δ supplemented that is a direct summand of M. In this paper, several properties of …