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Research Article | Open Access

Neutrosophic modules over modules

Ali Yahya Hummdi1, Amr Elrawy2( ), Ayat A. Temraz2
Department of Mathematics, College of Science, King Khalid University, Abha 61471, Saudi Arabia
Department of Mathematics, Faculty of Science, SVU, Qena 83523, Egypt
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Abstract

A module represents a fundamental and complicated algebraic structure associated with a particular binary operation in algebraic theory. This paper introduces a new class of neutrosophic sub-module and neutrosophic R-sub-module. We extend the basic definitions in this area for the first time. Various properties of a neutrosophic R-sub-module are studied in different classes of rings. Moreover, various definitions of direct product and homomorphism of neutrosophic R-sub-modules are discussed, and results are provided.

Keywords

neutrosophic setneutrosophic modulesmodules
CLC number: 20K27, 08A72, 20N25

References

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AIMS Mathematics
Volume 9 Issue 12,
December 2024
Pages 35964-35977
DOI: 10.3934/math.20241705

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Cite this article:
Hummdi AY, Elrawy A, Temraz AA. Neutrosophic modules over modules. AIMS Mathematics, 2024, 9(12): 35964-35977. https://doi.org/10.3934/math.20241705

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Received: 03 November 2024
Revised: 11 December 2024
Accepted: 19 December 2024
Published: 15 December 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)