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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 26Issue 1PP: 283-292 • 2025

Neutrosophic subgroups and neutrosophic normal subgroups of groups

Aiyared Iampan 1* ,
C. Sivakumar 2 ,
Neelamegarajan Rajesh 3
1Department of Mathematics, School of Science, University of Phayao, 19 Moo 2, Mae Ka, Mueang, Phayao 56000, Thailand
2Department of Mathematics, Thanthai Periyar Government Arts and Science College (affiliated to Bharathidasan University), Tiruchirappalli 624024, Tamil Nadu, India
3Department of Mathematics, Rajah Serfoji Government College (affiliated to Bharathidasan University), Thanjavur-613005, Tamil Nadu, India
* Corresponding Author.
Received: October 27, 2024 Revised: January 06, 2025 Accepted: February 17, 2025

Abstract

In this paper, we introduce the concepts of neutrosophic subgroups and neutrosophic normal subgroups of groups and investigate several properties. We investigate relations between neutrosophic subgroups (neutrosophic normal subgroups) and their neutrosophic level subsets of a group. We also look at the homomorphic image and inverse image of the neutrosophic subgroups and neutrosophic normal subgroups of groups, as well as some related properties.

Keywords

Group Neutrosophic set Neutrosophic subgroup Neutrosophic normal subgroup

References

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Iampan, Aiyared, Sivakumar, C., Rajesh, Neelamegarajan. "Neutrosophic subgroups and neutrosophic normal subgroups of groups." International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 1, 2025, pp. 283-292. DOI: https://doi.org/10.54216/IJNS.260124
Iampan, A., Sivakumar, C., Rajesh, N. (2025). Neutrosophic subgroups and neutrosophic normal subgroups of groups. International Journal of Neutrosophic Science, Volume 26(Issue 1), 283-292. DOI: https://doi.org/10.54216/IJNS.260124
Iampan, Aiyared, Sivakumar, C., Rajesh, Neelamegarajan. "Neutrosophic subgroups and neutrosophic normal subgroups of groups." International Journal of Neutrosophic Science Volume 26, no. Issue 1 (2025): 283-292. DOI: https://doi.org/10.54216/IJNS.260124
Iampan, A., Sivakumar, C., Rajesh, N. (2025) 'Neutrosophic subgroups and neutrosophic normal subgroups of groups', International Journal of Neutrosophic Science, Volume 26(Issue 1), pp. 283-292. DOI: https://doi.org/10.54216/IJNS.260124
Iampan A, Sivakumar C, Rajesh N. Neutrosophic subgroups and neutrosophic normal subgroups of groups. International Journal of Neutrosophic Science. 2025;Volume 26(Issue 1):283-292. DOI: https://doi.org/10.54216/IJNS.260124
A. Iampan, C. Sivakumar, N. Rajesh, "Neutrosophic subgroups and neutrosophic normal subgroups of groups," International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 1, pp. 283-292, 2025. DOI: https://doi.org/10.54216/IJNS.260124
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