Extending modules are generalizations of injective modules and, dually, lifting modules
generalize projective supplemented modules. There is a certain asymmetry in this duality …

BACKGROUND: Enhanced recovery after surgery (ERAS) pathways has been shown to
minimize the duration of hospital stay. The aim of this study was to identify which factors …

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

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 …

ABSTRACT PF Smith studied modules in which every submodule has a unique closure and
called them UC modules. In this paper we consider modules with the dual property viz …

We prove that a module M is cofinitely weak supplemented or briefly cws (ie, every
submodule N of M with M/N finitely generated, has a weak supplement) if and only if every …

Let t be a radical for the category of left R-modules for a ring R. If M is a t-coatomic module,
that is, if M has no nonzero t-torsion factor module, then t (M) is small in M. If V is a t …

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 …

Let M be a right R-module. M is called H-supplemented if for a submodule A of M there
exists a direct summand D of M such that M= A+ X holds if and only if M= D+ X. Let M= M1⊕ …

In this paper it is shown that an E-complemented complete modular lattice L with small
radical is weakly supplemented if and only if it is semilocal. L is a cofinitely weak …