International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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2690-6805ISSN (Online) 2692-6148ISSN (Print)

Volume 22 , Issue 4 , PP: 82-92, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

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.220407

    Received: May 12, 2023 Revised: July 12, 2023 Accepted: November 01, 2023
    Abstract

    The notion of neutrosophic nil radicals of neutrosophic ideals in rings is introduced, and related properties are investigated. In addition, we study some relations between the nil radical of the neutrosophic polynomial ideal of the polynomial ring R[x] induced by a neutrosophic ideal of a ring R and the nil radical of a neutrosophic ideal of R. Finally, we find the result of neutrosophic nil radicals of neutrosophic ideals from the epimorphism of rings.

    Keywords :

    ring , neutrosophic polynomial ideal , neutrosophic ideal , neutrosophic nil radical , epimorphism.

    References

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    Cite This Article As :
    Priya, A.. , Maragatha, P.. , Iampan, Aiyared. , Rajesh, N.. Neutrosophic nil radicals of neutrosophic ideals in rings. International Journal of Neutrosophic Science, vol. , no. , 2023, pp. 82-92. DOI: https://doi.org/10.54216/IJNS.220407
    Priya, A. Maragatha, P. Iampan, A. Rajesh, N. (2023). Neutrosophic nil radicals of neutrosophic ideals in rings. International Journal of Neutrosophic Science, (), 82-92. DOI: https://doi.org/10.54216/IJNS.220407
    Priya, A.. Maragatha, P.. Iampan, Aiyared. Rajesh, N.. Neutrosophic nil radicals of neutrosophic ideals in rings. International Journal of Neutrosophic Science , no. (2023): 82-92. DOI: https://doi.org/10.54216/IJNS.220407
    Priya, A. , Maragatha, P. , Iampan, A. , Rajesh, N. (2023) . Neutrosophic nil radicals of neutrosophic ideals in rings. International Journal of Neutrosophic Science , () , 82-92 . DOI: https://doi.org/10.54216/IJNS.220407
    Priya A. , Maragatha P. , Iampan A. , Rajesh N. [2023]. Neutrosophic nil radicals of neutrosophic ideals in rings. International Journal of Neutrosophic Science. (): 82-92. DOI: https://doi.org/10.54216/IJNS.220407
    Priya, A. Maragatha, P. Iampan, A. Rajesh, N. "Neutrosophic nil radicals of neutrosophic ideals in rings," International Journal of Neutrosophic Science, vol. , no. , pp. 82-92, 2023. DOI: https://doi.org/10.54216/IJNS.220407