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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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International Journal of Neutrosophic Science
Full Length Article

Volume 26Issue 2PP: 120-131 • 2025

Applications of Neutrosophic N-Structures in Ternary Semirings: A Study on Neutrosophic Ternary N-Subsemirings

Thammarat Panityakul 1* ,
Ronnason Chinram 1
1Division of Computational Science, Faculty of Science, Prince of Songkla University, Songkhla 90110, Thailand
* Corresponding Author.
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© 2025 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: January 16, 2025 Revised: February 04, 2025 Accepted: March 12, 2025

Abstract

In this paper, we apply neutrosophic N-structures in ternary semirings. We consider ternary neutrosophic N-subsemirings of ternary semirings. We investigate the conditions for neutrosophic N-structures to be neutrosophic ternary N-subsemirings. In addition, we show the relation between ternary subsemirins and neutrosophic ternary N-subsemirins. Finally, we showed that the homomorphic preimage of the neutrosophic ternary N-subsemirings is a neutrosophic ternary N-subsemirings and the onto homomorphic image of the neutrosophic ternary N-subsemiring is also a neutrosophic ternary N-subsemirings.

Keywords

Neutrosophic N-structures Ternary semirings Neutrosophic ternary N-subsemirings Homomorphism Homomorphic image

References

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Panityakul, Thammarat, Chinram, Ronnason. "Applications of Neutrosophic N-Structures in Ternary Semirings: A Study on Neutrosophic Ternary N-Subsemirings." International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 2, 2025, pp. 120-131. DOI: https://doi.org/10.54216/IJNS.260209
Panityakul, T., Chinram, R. (2025). Applications of Neutrosophic N-Structures in Ternary Semirings: A Study on Neutrosophic Ternary N-Subsemirings. International Journal of Neutrosophic Science, Volume 26(Issue 2), 120-131. DOI: https://doi.org/10.54216/IJNS.260209
Panityakul, Thammarat, Chinram, Ronnason. "Applications of Neutrosophic N-Structures in Ternary Semirings: A Study on Neutrosophic Ternary N-Subsemirings." International Journal of Neutrosophic Science Volume 26, no. Issue 2 (2025): 120-131. DOI: https://doi.org/10.54216/IJNS.260209
Panityakul, T., Chinram, R. (2025) 'Applications of Neutrosophic N-Structures in Ternary Semirings: A Study on Neutrosophic Ternary N-Subsemirings', International Journal of Neutrosophic Science, Volume 26(Issue 2), pp. 120-131. DOI: https://doi.org/10.54216/IJNS.260209
Panityakul T, Chinram R. Applications of Neutrosophic N-Structures in Ternary Semirings: A Study on Neutrosophic Ternary N-Subsemirings. International Journal of Neutrosophic Science. 2025;Volume 26(Issue 2):120-131. DOI: https://doi.org/10.54216/IJNS.260209
T. Panityakul, R. Chinram, "Applications of Neutrosophic N-Structures in Ternary Semirings: A Study on Neutrosophic Ternary N-Subsemirings," International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 2, pp. 120-131, 2025. DOI: https://doi.org/10.54216/IJNS.260209
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