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Journal of Neutrosophic and Fuzzy Systems

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Journal of Neutrosophic and Fuzzy Systems

Volume 3 , Issue 2 , PP: 37-42, 2022 | Cite this article as | XML | Html | PDF

On Some Open Problems About n-Cyclic Refined Neutrosophic Rings And Number Theory

A. Alrida Basheer 1 * , Katy D. Ahmad 2 , Rozina Ali 3

  • 1 Imam Kadhum College, Iraq - (basheerabdalrida66n@gmail.com )
  • 2 Islamic University Of Gaza, Palestine - (katyon765@gmail.com)
  • 3 Cairo University, Egypt - (rozyyy123n@gmail.com)

    • Doi: https://doi.org/10.54216/JNFS.030204

    Received: April 03, 2022 Accepted: July 13, 2022
    Abstract

    The objective of this paper is to present 40 open problems about the n-cyclic refined neutrosophic rings. These questions concern the n-cyclic refined neutrosophic rings, n-cyclic refined neutrosophic number theory, and n-cyclic refined neutrosophic analysis. They will represent the future of the study of neutrosophic n-cyclic refined rings and the related structures.

    Keywords :

    n-cyclic refined neutrosophic ring , n-cyclic refined group of units, n-cyclic refined neutrosophic equation

    References

    1. Kandasamy, V.W.B., and Smarandache, F., "Some Neutrosophic Algebraic Structures and Neutrosophic N-Algebraic Structures", Hexis, Phonex, Arizona 2006.

    2. Olgun, N., Hatip, A., Bal, M., and Abobala, M., " A Novel Approach To Necessary and Sufficient Conditions For The Diagonalization of Refined Neutrosophic Matrices", International Journal of Neutrosophic Science, Vol. 16, pp. 72-79, 2021.

    3. Abobala, M., "On Some Special Substructures of Refined Neutrosophic Rings", International Journal of Neutrosophic Science, Vol. 5, pp. 59-66. 2020.

    4. Agboola, A.A.A,. Akwu, A.D,. and Oyebo, Y.T., " Neutrosophic Groups and Subgroups", International .J .Math. Combin, Vol. 3, pp. 1-9. 2012.

    5. Agboola, A.A.A., "On Refined Neutrosophic Algebraic Structures," Neutrosophic Sets and Systems,Vol.10, pp. 99-101. 2015.

    6. Adeleke, E.O., Agboola, A.A.A.,and Smarandache, F.,  "Refined Neutrosophic Rings I", International Journal of Neutrosophic Science, Vol. 2(2), pp. 77-81. 2020.

    7. Hatip, A., and Olgun, N.,  "On Refined Neutrosophic R-Module", International Journal of Neutrosophic Science, Vol. 7, pp.87-96. 2020.

    8. Adeleke, E.O., Agboola, A.A.A., and Smarandache, F., "Refined Neutrosophic Rings II", International Journal of Neutrosophic Science, Vol. 2(2), pp. 89-94. 2020.

    9. Abobala, M., On Refined Neutrosophic Matrices and Their Applications In Refined Neutrosophic Algebraic Equations, Journal Of Mathematics, Hindawi, 2021

    10. Abobala, M., " Semi Homomorphisms and Algebraic Relations Between Strong Refined Neutrosophic Modules and Strong Neutrosophic Modules", Neutrosophic Sets and Systems, Vol. 39, 2021

    11. Abobala, M., "On Some Algebraic Properties of n-Refined Neutrosophic Elements and n-Refined Neutrosophic Linear Equations", Mathematical Problems in Engineering, Hindawi, 2021

    12. Abobala, M., A Study of Maximal and Minimal Ideals of n-Refined Neutrosophic Rings, Journal of Fuzzy Extension and Applications, Vol. 2, pp. 16-22, 2021.

    13. Smarandache F., and Abobala, M.,  "n-Refined Neutrosophic Vector Spaces", International Journal of Neutrosophic Science, Vol. 7, pp. 47-54. 2020.

    14. Abobala, M., "Classical Homomorphisms Between n-refined Neutrosophic Rings", International Journal of Neutrosophic Science", Vol. 7, pp. 74-78. 2020.

    15. Smarandache, F., and Abobala, M., n-Refined neutrosophic Rings, International Journal of Neutrosophic Science, Vol. 5 , pp. 83-90, 2020.

    16. Abobala, M., " n-Refined Neutrosophic Groups I", International Journal of Neutrosophic Science, Vol. 0, pp. 27-34. 2020.

    17. Abobala, M.,. "A Study of AH-Substructures in n-Refined Neutrosophic Vector Spaces", International Journal of Neutrosophic Science", Vol. 9, pp.74-85. 2020.

    18. Sankari, H., and Abobala, M." n-Refined Neutrosophic Modules", Neutrosophic Sets and Systems, Vol. 36, pp. 1-11. 2020.

    19. Smarandache, F., " n-Valued Refined Neutrosophic Logic and Its Applications in Physics", Progress in Physics, 143-146, Vol. 4, 2013.

    20. Abobala, M, "n-Cyclic Refined Neutrosophic Algebraic Systems Of Sub-Indeterminacies, An Application To Rings and Modules", International Journal of Neutrosophic Science, Vol. 12, pp. 81-95 . 2020

    21. Singh P. K., “Three-way n-valued neutrosophic concept lattice at different granulation, International Journal of Machine Learning and Cybernetics,  Vol 9, Issue 11, pp. 1839-1855, 2018.

    22. Singh P. K., “AntiGeometry and NeutroGeometry Characterization of Non-Euclidean Data Sets”, Journal of Neutrosophic and Fuzzy Systems, Vol 1, Issue 1, pp. 24-33, 2021,  DOI: https://doi.org/10.54216/JNFS.0101012

    23. Singh, P,K., " Anti-geometry and NeutroGeometry Characterization of Non-Euclidean Data", Journal of Neutrosophic and Fuzzy Systems, vol. 1, 2022

    24. Abobala, M., Hatip, A., Bal,M.," A Study Of Some Neutrosophic Clean Rings", International journal of neutrosophic science, 2022

    25. Ibrahim, M., and Abobala, M., "An Introduction To Refined Neutrosophic Number Theory", Neutrosophic Sets and Systems, Vol. 45, 2021.

    26. Sankari, H., and Abobala, M., "Solving Three Conjectures About Neutrosophic Quadruple Vector Spaces", Neutrosophic Sets and Systems, Vol. 38, pp. 70-77. 2020.

    27. Abobala, M., Bal, M., Aswad, M., "A Short Note On Some Novel Applications of Semi Module Homomorphisms", International journal of neutrosophic science, 2022.

    28. Abobala, M., "On The Characterization of Maximal and Minimal Ideals In Several Neutrosophic Rings", Neutrosophic Sets and Systems, Vol. 45, 2021.

    29. Singh, P,K., “Fourth dimension data representation and its analysis using Turiyam Context, Journal of Computer and Communications, Vol. 9, no. 6, pp. 222-229, 2021, DOI: 10.4236/jcc.2021.96014, https://www.scirp.org/journal/paperinformation.aspx?paperid=110694

    30. Singh, P,K., “NeutroAlgebra and NeutroGeometry for Dealing Heteroclinic Patterns”. In: Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebras, IGI Global Publishers, April 2022, Chapter 6,  DOI: 10.4018/978-1-6684-3495-6, ISBN13: 9781668434956

    31. Singh P. K.,  “Non-Euclidean, Anti-Geometry and NeutroGeometry Characterization”, International Journal of Neutrosophic Sciences, Vol 18, Issue 3, pp. 8-19, 2022.

    32. Singh P. K.,  “Data with Non-Euclidean Geometry and its Characterization”. Journal of Artificial Intelligence and Technology, Vol 2, Issue 1, pp. 3-8, 2022, DOI: 10.37965/jait.2021.12001

    33. Singh P. K., “A Note on Basic Proof of Some Famous Mathematical Theorem and Its Illustration”, Journal of Neutrosophic and Fuzzy Systems, Vol. 3 , No. 1 , 39-53, 2022

    Cite This Article As :
    A. Alrida Basheer , Katy D. Ahmad, Rozina Ali. "On Some Open Problems About n-Cyclic Refined Neutrosophic Rings And Number Theory." Full Length Article, Vol. 3, No. 2, 2022 ,PP. 37-42 (Doi   :  https://doi.org/10.54216/JNFS.030204)
    A. Alrida Basheer , Katy D. Ahmad, Rozina Ali. (2022). On Some Open Problems About n-Cyclic Refined Neutrosophic Rings And Number Theory. Journal of , 3 ( 2 ), 37-42 (Doi   :  https://doi.org/10.54216/JNFS.030204)
    A. Alrida Basheer , Katy D. Ahmad, Rozina Ali. "On Some Open Problems About n-Cyclic Refined Neutrosophic Rings And Number Theory." Journal of , 3 no. 2 (2022): 37-42 (Doi   :  https://doi.org/10.54216/JNFS.030204)
    A. Alrida Basheer , Katy D. Ahmad, Rozina Ali. (2022). On Some Open Problems About n-Cyclic Refined Neutrosophic Rings And Number Theory. Journal of , 3 ( 2 ), 37-42 (Doi   :  https://doi.org/10.54216/JNFS.030204)
    A. Alrida Basheer , Katy D. Ahmad, Rozina Ali. On Some Open Problems About n-Cyclic Refined Neutrosophic Rings And Number Theory. Journal of , (2022); 3 ( 2 ): 37-42 (Doi   :  https://doi.org/10.54216/JNFS.030204)
    A. Alrida Basheer, Katy D. Ahmad, Rozina Ali, On Some Open Problems About n-Cyclic Refined Neutrosophic Rings And Number Theory, Journal of , Vol. 3 , No. 2 , (2022) : 37-42 (Doi   :  https://doi.org/10.54216/JNFS.030204)

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