International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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Volume 26 , Issue 2 , PP: 120-131, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

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

Thammarat Panityakul 1 , Ronnason Chinram 2 *

  • 1 Division of Computational Science, Faculty of Science, Prince of Songkla University, Songkhla 90110, Thailand - (thammarat.p@psu.ac.th)
  • 2 Division of Computational Science, Faculty of Science, Prince of Songkla University, Songkhla 90110, Thailand - (ronnason.c@psu.ac.th)
  • Doi: https://doi.org/10.54216/IJNS.260209

    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

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    Cite This Article As :
    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. , no. , 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, (), 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 , no. (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 , () , 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. (): 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, vol. , no. , pp. 120-131, 2025. DOI: https://doi.org/10.54216/IJNS.260209