Abstract
The main goal of this paper is to introduce and studya new concept named Ᵹ*-supplemented which can be considered as a generalization of W-supplemented modules and Ᵹ-hollow module. Also, we introduce a Ᵹ*-supplement submodule.Many relationshipsof Ᵹ*-supplemented modules are studied. Especially, we give characterizations of Ᵹ*-supplemented modules and relationship between this kind of modules and other kind modules for example every Ᵹ-hollow (Ᵹ-local) module is Ᵹ*-supplemented and by an example we show that the converse is not true.
Keywords
Ᵹ-hollow, Ᵹ -small submodule, Ᵹ*- supplement, Ᵹ*- supplemented, W-supplemented
Article Type
Article
How to Cite this Article
Elewi, Alaa Abbas and Ibrahiem, Tamadher Arif
(2020)
"On S*-Supplemented Modules,"
Baghdad Science Journal: Vol. 17:
Iss.
1, Article 18.
DOI: https://doi.org/10.21123/bsj.2020.17.1.0136