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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 23 , Issue 1 , PP: 97-111, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

Some properties of neutrosophic nil radicals of neutrosophic ideals in rings

A. Priya 1 * , P. Maragatha Meenakshi 2 , Aiyared Iampan 3 , N. Rajesh 4

  • 1 Department of Mathematics, Government Arts College (affiliated to Bharathidasan University), Thanthonimalai, Karur 639005, Tamilnadu, India - (a.priya@gackarur.ac.in)
  • 2 Department of Mathematics, Thanthai Periyar Government Arts and Science College (affiliated to Bharathidasan University), Tiruchirappalli 624024, Tamilnadu, India - (maragathameenakship@gmail.com)
  • 3 Fuzzy Algebras and Decision-Making Problems Research Unit, School of Science, University of Phayao, 19 Moo 2, Tambon Mae Ka, Amphur Mueang, Phayao 56000, Thailand - (aiyared.ia@up.ac.th)
  • 4 Department of Mathematics, Rajah Serfoji Government College, Thanjavur 613005, Tamilnadu, India - (nrajesh topology@yahoo.co.in)

    • Doi: https://doi.org/10.54216/IJNS.230108

    Received: May 13, 2023 Revised: August 12, 2023 Accepted: November 09, 2023
    Abstract

    In this paper, we consider the notion of neutrosophic nil radicals of neutrosophic ideals in commutative rings and some properties of such nil radicals. Finally, we study the properties of semiprime neutrosophic ideals of rings.

    Keywords :

    ring , neutrosophic ideal , neutrosophic nil radical , f-invariant , semiprime neutrosophic ideal.

    References

    [1] B. Ahmad and A. Kharal, On fuzzy soft sets, Advances in Fuzzy Systems, 2009, (2009), Article ID 586507, 6 pages.

    [2] K. T. Atanassov, Intuitionistic sets, Fuzzy Sets and Systems, 20(1), (1986), 87-96.

    [3] M. Atef, M. I. Ali, and T. M. Al-Shami, Fuzzy soft covering based multi-granulation fuzzy rough sets and their applications, Computational and Applied Mathematics, 40(4), (2021), 115.

    [4] S. Broumi, S. Krishna Prabha, and V. Uluc¸ay, Interval-valued Fermatean neutrosophic shortest path problem via score function, Neutrosophic Systems with Applications, 11, (2023), 1–10.

    [5] S. Broumi, S. Mohanaselvi, T. Witczak, M. Talea, A. Bakali, and F. Smarandache, Complex Fermatean neutrosophic graph and application to decision making, Decision Making: Applications in Management and Engineering, 6(1), (2023), 474-501.

    [6] S. Broumi, R. Sundareswaran, M. Shanmugapriya, A. Bakali, and M. Talea, Theory and applications of Fermatean neutrosophic graphs, Neutrosophic Sets and Systems, 50, (2022), 248-286.

    [7] M. Palanikumar, K. Arulmozhi, Aiyared Iampan,Said Broumi, Medical diagnosis decision making using type-II generalized Pythagorean neutrosophic interval valued soft sets, International Journal of Neutrosophic Science, Vol. 20 , No. 1 , (2023) : 85-105 (Doi : https://doi.org/10.54216/IJNS.200108).

    [8] S. Broumi, R. Sundareswaran, M. Shanmugapriya, P. K. Singh, M. Voskoglou, and M. Talea, Faculty performance evaluation through multi-criteria decision analysis using interval-valued Fermatean neutrosophic sets, Mathematics, 11(18), (2023), 3817.

    [9] N. Caˇgman, S. Enginoˇglu, and F. Citak, Fuzzy soft set theory and its application, Iranian Journal of Fuzzy Systems, 8(3), (2011), 137-147.

    [10] V. Cetkin and H. Aygun, An approach to neutrosophic ideals, Universal Journal of Mathematics and Applications, 1(2), (2018), 132-136.

    [11] V. Cetkin and H. Aygun, An approach to neutrosophic subrings, Sakarya University Journal of Science, 23(3), (2019), 472-477.

    [12] Mahmoud A. Zaher,Marwan Al-Akaidi, Information error-based Pythagorean fuzzy cloud technique for managing road traffic risk, International Journal of Wireless and Ad Hoc Communication, Vol. 4 , No. 2 , (2022) : 50-60 (Doi : https://doi.org/10.54216/IJWAC.040201).

    [13] H. Garg and K. Kumar, An advanced study on the similarity measures of intuitionistic fuzzy sets based on the set pair analysis theory and their application in decision making, Soft Computing, 22(15), (2018), 4959-4970.

    [14] H. Garg and K. Kumar, Distance measures for connection number sets based on set pair analysis and its applications to decision-making process, Applied Intelligence, 48(10), (2018), 3346-3359.

    [15] A. Priya, P. Maragatha Meenakshi, A. Iampan, and N. Rajesh, Neutrosophic nil radicals of neutrosophic ideals in rings, International Journal of Neutrosophic Science, 22(4), 2023, 82-92.

    [16] A. Priya, P. Maragatha Meenakshi, A. Iampan, and N. Rajesh, Polynomial ideals of a ring based on neutrosophic sets, International Journal of Neutrosophic Science, 22(4), 2023, 8-19.

    [17] F. Smarandache, A unifying field in logics: neutrosophic logic, neutrosophy, neutrosophic set, neutrosophic probability, American Research Press, Rehoboth, New Mexico, (1999).

    [18] F. Smarandache, Neutrosophic set-a generalization of the intuitionistic fuzzy set, International Journal of Pure and Applied Mathematics, 24(3), (2005), 287-297.

    [19] L. A. Zadeh, Fuzzy sets, Information and control, 8(3), (1965), 338-353.

    Cite This Article As :
    Priya, A.. , Maragatha, P.. , Iampan, Aiyared. , Rajesh, N.. Some properties of neutrosophic nil radicals of neutrosophic ideals in rings. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 97-111. DOI: https://doi.org/10.54216/IJNS.230108
    Priya, A. Maragatha, P. Iampan, A. Rajesh, N. (2024). Some properties of neutrosophic nil radicals of neutrosophic ideals in rings. International Journal of Neutrosophic Science, (), 97-111. DOI: https://doi.org/10.54216/IJNS.230108
    Priya, A.. Maragatha, P.. Iampan, Aiyared. Rajesh, N.. Some properties of neutrosophic nil radicals of neutrosophic ideals in rings. International Journal of Neutrosophic Science , no. (2024): 97-111. DOI: https://doi.org/10.54216/IJNS.230108
    Priya, A. , Maragatha, P. , Iampan, A. , Rajesh, N. (2024) . Some properties of neutrosophic nil radicals of neutrosophic ideals in rings. International Journal of Neutrosophic Science , () , 97-111 . DOI: https://doi.org/10.54216/IJNS.230108
    Priya A. , Maragatha P. , Iampan A. , Rajesh N. [2024]. Some properties of neutrosophic nil radicals of neutrosophic ideals in rings. International Journal of Neutrosophic Science. (): 97-111. DOI: https://doi.org/10.54216/IJNS.230108
    Priya, A. Maragatha, P. Iampan, A. Rajesh, N. "Some properties of neutrosophic nil radicals of neutrosophic ideals in rings," International Journal of Neutrosophic Science, vol. , no. , pp. 97-111, 2024. DOI: https://doi.org/10.54216/IJNS.230108

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