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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 2PP: 55-66 • 2025

Lagrange’s theorem based on neutrosophic sets

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: January 16, 2025 Revised: February 04, 2025 Accepted: March 12, 2025

Abstract

This paper explores the fundamental concepts of sub-level subgroups, element orders, normalizers, and centralizers within the framework of neutrosophic group theory. Additionally, it examines quotient groups and the index of a subgroup, extending classical algebraic structures to a neutrosophic setting. Finally, a generalized formulation of Lagrange’s theorem is presented, demonstrating its applicability in the neutrosophic environment and highlighting its implications for uncertain and indeterminate group structures.

Keywords

Neutrosophic set Neutrosophic subgroup Neutrosophic order Neutrosophic quotient group

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Cite This Article

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Iampan, Aiyared, Sivakumar, C., Rajesh, Neelamegarajan. "Lagrange’s theorem based on neutrosophic sets." International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 2, 2025, pp. 55-66. DOI: https://doi.org/10.54216/IJNS.260206
Iampan, A., Sivakumar, C., Rajesh, N. (2025). Lagrange’s theorem based on neutrosophic sets. International Journal of Neutrosophic Science, Volume 26(Issue 2), 55-66. DOI: https://doi.org/10.54216/IJNS.260206
Iampan, Aiyared, Sivakumar, C., Rajesh, Neelamegarajan. "Lagrange’s theorem based on neutrosophic sets." International Journal of Neutrosophic Science Volume 26, no. Issue 2 (2025): 55-66. DOI: https://doi.org/10.54216/IJNS.260206
Iampan, A., Sivakumar, C., Rajesh, N. (2025) 'Lagrange’s theorem based on neutrosophic sets', International Journal of Neutrosophic Science, Volume 26(Issue 2), pp. 55-66. DOI: https://doi.org/10.54216/IJNS.260206
Iampan A, Sivakumar C, Rajesh N. Lagrange’s theorem based on neutrosophic sets. International Journal of Neutrosophic Science. 2025;Volume 26(Issue 2):55-66. DOI: https://doi.org/10.54216/IJNS.260206
A. Iampan, C. Sivakumar, N. Rajesh, "Lagrange’s theorem based on neutrosophic sets," International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 2, pp. 55-66, 2025. DOI: https://doi.org/10.54216/IJNS.260206
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