The Direct Product of Hypermodules over a Hyperring

FatimahAlzahra Alqabaeli; Yasser AbouElwan; Hussein Shat

doi:10.54361/ajmas.258445

The Direct Product of Hypermodules over a Hyperring

Authors

FatimahAlzahra Alqabaeli Department of Mathematics, Faculty of Science, University of Omer Al Mukhtar, Al Bayda, Libya https://orcid.org/0000-0003-3026-0236
Yasser AbouElwan Department of Mathematics, Faculty of Science, University of Omer Al Mukhtar, Al Bayda, Libya https://orcid.org/0009-0009-0157-9652
Hussein Shat General Department, Faculty of Management, University of Bright Star, Al Burayqah, Libya https://orcid.org/0000-0002-0533-1234

DOI:

https://doi.org/10.54361/ajmas.258445

Keywords:

Hyperstructure, Hyperring, R-hypermodule, Direct Product

Abstract

The purpose of this work is studying the direct product of hypermodules. We introduce a general definition of the direct product of R-hypermodules by extending the classical coordinatewise construction from module theory. It is shown that the direct product preserves the axioms of an R-hypermodule. This result helped us to prove that, direct Product of R-hypermodules is an R-hypermodule, and that the canonical projections as hyperhomomorphisms.

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Published

2025-10-26

How to Cite

FatimahAlzahra Alqabaeli, AbouElwan Y, Hussein Shat. The Direct Product of Hypermodules over a Hyperring. Alq J Med App Sci [Internet]. 2025 Oct. 26 [cited 2026 Feb. 11];:2417-20. Available from: https://journal.utripoli.edu.ly/index.php/Alqalam/article/view/1178