Scholarly Article
The Direct Product of Hypermodules over a Hyperring
FatimahAlzahra Alqabaeli, AbouElwan, Yasser, Hussein Shat
2025-10-26 · AlQalam Journal of Medical and Applied Sciences · University of Tripoli Alahlia
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.
Keywords
Hyperstructure, Hyperring, R-hypermodule, Direct Product
Citation Details
AlQalam Journal of Medical and Applied Sciences, Vol. 8, No. 4, pp. 2417-2420