An Introduction to Symbolic Neutrosophic Algebras

Nader; Mohammad

doi:https://doi.org/10.54216/GJMSA.0120105

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Volume 12 • Issue 1 • PP: 36-43 • 2025

An Introduction to Symbolic Neutrosophic Algebras

Nader Taffach ^1*

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,

Mohammad Al-Shiekh ¹

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¹Department of mathematics, Idlib University, Idlib, Syria

* Corresponding Author.

DOI https://doi.org/10.54216/GJMSA.0120105

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Received: October 18, 2024 Revised: December 02, 2024 Accepted: January 02, 2025

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Abstract

The objective of this paper is to study for the first time the concept of symbolic neutrosophic algebra defined over a neutrosophic ring R(I), where we derive a strict definition of this concept as an expansion of neutrosophic modules. In addition, we study some of its elementary properties such as neutrosophic subalgebras, neutrosophic homomorphisms and kernels through many theorems and mathematical proofs.

Keywords

Neutrosophic ring Neutrosophic module Neutrosophic algebra Neutrosophic homomorphism

References

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Taffach, Nader, Al-Shiekh, Mohammad. "An Introduction to Symbolic Neutrosophic Algebras." Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 12, no. Issue 1, 2025, pp. 36-43. DOI: https://doi.org/10.54216/GJMSA.0120105

Taffach, N., Al-Shiekh, M. (2025). An Introduction to Symbolic Neutrosophic Algebras. Galoitica: Journal of Mathematical Structures and Applications, Volume 12(Issue 1), 36-43. DOI: https://doi.org/10.54216/GJMSA.0120105

Taffach, Nader, Al-Shiekh, Mohammad. "An Introduction to Symbolic Neutrosophic Algebras." Galoitica: Journal of Mathematical Structures and Applications Volume 12, no. Issue 1 (2025): 36-43. DOI: https://doi.org/10.54216/GJMSA.0120105

Taffach, N., Al-Shiekh, M. (2025) 'An Introduction to Symbolic Neutrosophic Algebras', Galoitica: Journal of Mathematical Structures and Applications, Volume 12(Issue 1), pp. 36-43. DOI: https://doi.org/10.54216/GJMSA.0120105

Taffach N, Al-Shiekh M. An Introduction to Symbolic Neutrosophic Algebras. Galoitica: Journal of Mathematical Structures and Applications. 2025;Volume 12(Issue 1):36-43. DOI: https://doi.org/10.54216/GJMSA.0120105

N. Taffach, M. Al-Shiekh, "An Introduction to Symbolic Neutrosophic Algebras," Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 12, no. Issue 1, pp. 36-43, 2025. DOI: https://doi.org/10.54216/GJMSA.0120105

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