A module M is called ss-supplemented if every submodule U of M has a supplement V in M
such that U (intersection) V is semisimple. It is shown that a finitely generated module M is ss …

Weakening the notion of R-projectivity, a right R-module M is called max-projective provided
that each homomorphism f: M→ R/I, where I is any maximal right ideal, factors through the …

In this work generalized supplemented semimodules are defined which generalize
generalized supplemented modules. We investigate some properties of these semimodules …

In this paper, we introduced and studied sa-supplement submodules. A submodule U of a
module V is called an sa-supplement submodule in V if there exists a submodule T of V such …

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 an associative ring with unity and let M be an R-module. We call M (ample) Rad-
supplementing if M has a (ample) Rad-supplement in every extension. If M is Rad …

In this paper we provide various properties of Rad-⊕-supplemented modules. In particular,
we prove that a projective module M is Rad-⊕-supplemented if and only if M is⊕ …

Recently, the rings whose injective right modules are R-projective (respectively, max-
projective) were investigated and studied in [2]. Such ring are called right almost-QF …

Over a general ring, an R-module is w-supplemented if and only if amply w-supplemented. It
is proved that over a local Dedekind domain, all modules are w-supplemented and over a …

In this paper, we study supplement submodules with respect to a torsion class of any torsion
theory, generalizing the concepts of sa-supplement, extended S-supplement, Rad …