Graded Classical Weakly Prime Submodules Over Non-Commutative Graded Rings

Jebrel M. Habeb; Rashid Abu-Dawwas

doi:10.2478/tmmp-2024-0023

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Graded Classical Weakly Prime Submodules Over Non-Commutative Graded Rings

Tatra Mountains Mathematical Publications

Volume 87 (2024): Issue 2 (November 2024)

By: Jebrel M. Habeb and Rashid Abu-Dawwas

Open Access

|Nov 2024

Abstract

The goal of this article is to propose and examine the notion of graded classical weakly prime submodules over non-commutative graded rings which is a generalization of the concept of graded classical weakly prime submodules over commutative graded rings. We investigate the structure of these types of submodules in various categories of graded modules.

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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2024-0023 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 85 - 104

Submitted on: Jun 18, 2023

Accepted on: Oct 3, 2024

Published on: Nov 27, 2024

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

graded prime submodules,

graded weakly prime submodules,

graded classical prime submodules

Related subjects:

Mathematics,

General mathematics

© 2024 Jebrel M. Habeb, Rashid Abu-Dawwas, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 87 (2024): Issue 2 (November 2024)