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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 22 • Issue 4 • PP: 82-92 • 2023

Neutrosophic nil radicals of neutrosophic ideals in rings

A. Priya 1*
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,
P. Maragatha Meenakshi 2
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,
Aiyared Iampan 3
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,
N. Rajesh 4
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1Department of Mathematics, Government Arts College (affiliated to Bharathidasan University), Thanthonimalai, Karur 639005, Tamilnadu, India
2Department of Mathematics, Thanthai Periyar Government Arts and Science College (affiliated to Bharathidasan University), Tiruchirappalli 624024, Tamilnadu, India
3Fuzzy Algebras and Decision-Making Problems Research Unit, School of Science, University of Phayao, 19 Moo 2, Tambon Mae Ka, Amphur Mueang, Phayao 56000, Thailand
4Department of Mathematics, Rajah Serfoji Government College, Thanjavur 613005, Tamilnadu, India
* Corresponding Author.
DOI https://doi.org/10.54216/IJNS.220407
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© 2023 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: May 12, 2023 Revised: July 12, 2023 Accepted: November 01, 2023
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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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[9] M. S. Hameed, Z. Ahmad, and S. Ali, Characterization of γ-single valued neutrosophic rings and ideals, Neutrosophic Sets and Systems, 50, (2022), 47-63.

[10] 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.

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Priya, A., Meenakshi, P. Maragatha, Iampan, Aiyared, Rajesh, N.. "Neutrosophic nil radicals of neutrosophic ideals in rings." International Journal of Neutrosophic Science, vol. Volume 22, no. Issue 4, 2023, pp. 82-92. DOI: https://doi.org/10.54216/IJNS.220407
Priya, A., Meenakshi, P., Iampan, A., Rajesh, N. (2023). Neutrosophic nil radicals of neutrosophic ideals in rings. International Journal of Neutrosophic Science, Volume 22(Issue 4), 82-92. DOI: https://doi.org/10.54216/IJNS.220407
Priya, A., Meenakshi, P. Maragatha, Iampan, Aiyared, Rajesh, N.. "Neutrosophic nil radicals of neutrosophic ideals in rings." International Journal of Neutrosophic Science Volume 22, no. Issue 4 (2023): 82-92. DOI: https://doi.org/10.54216/IJNS.220407
Priya, A., Meenakshi, P., Iampan, A., Rajesh, N. (2023) 'Neutrosophic nil radicals of neutrosophic ideals in rings', International Journal of Neutrosophic Science, Volume 22(Issue 4), pp. 82-92. DOI: https://doi.org/10.54216/IJNS.220407
Priya A, Meenakshi P, Iampan A, Rajesh N. Neutrosophic nil radicals of neutrosophic ideals in rings. International Journal of Neutrosophic Science. 2023;Volume 22(Issue 4):82-92. DOI: https://doi.org/10.54216/IJNS.220407
A. Priya, P. Meenakshi, A. Iampan, N. Rajesh, "Neutrosophic nil radicals of neutrosophic ideals in rings," International Journal of Neutrosophic Science, vol. Volume 22, no. Issue 4, pp. 82-92, 2023. DOI: https://doi.org/10.54216/IJNS.220407
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