A generalization of goldie extending modules via ec-closed submodules

AA Abbas, HMH Saleh - AIP Conference Proceedings, 2023 - pubs.aip.org
In this article, we introduce a class of modules which is analogous to that of-extending and-
extending modules. We define a module M to be-extending if and only if for each ec-closed …

Extending properties of exact projection invariant submodules

A Tercan, CC Yücel - Asian-European Journal of Mathematics, 2022 - World Scientific
In this paper, on using a left exact preradical, we define a module M to be EPD (EPG) if and
only if each ep-submodule X of M is a direct summand (there exists a direct summand D …

An Approach to Goldie Extending Modules on the Class of Cyclic Submodules

A Shihadeh - Communications on Applied Nonlinear …, 2024 - internationalpubls.com
In this article, we provide a class of modules that is comparable to-extending and-extending
modules. We specify what a module M is as-extending if and only if for each cyclic …