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International Journal of Neutrosophic Science

ISSN
Online: 2690-6805 Print: 2692-6148
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Continuous publication

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Open access · Articles freely available online · APC applies after acceptance

International Journal of Neutrosophic Science
Full Length Article

Theory on Duplicity of Finite Neutrosophic Rings

TCHALAPATHI * ,
KKumaraswamy Naidu 1 ,
DHarish Babu 1 ,
FSmarandache 2
1Sree Vidyanikethan Engineering College
2University of New Mexico, Gallup, NM, USA
* Corresponding Author.

Abstract

This article introduces the notion of duplex elements of the finite rings and corresponding Neutrosophic rings. The authors establish duplex ring and Neutrosophic duplex ring by way of various illustrations. The tables of different duplicities are constructed to reveal the comparison between rings , and for the cyclic ring . The proposed duplicity structures have several algebraic systems with dissimilar consequences. Author’s characterize finite rings with is different from the duplex ring . However, this characterization supports that for some well known rings, namely zero rings and finite fields.

Keywords

Multiplicative function Duplex form Duplex ring Neutrosophic duplex element Neutrosophic duplex ring

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, TCHALAPATHI, Naidu, KKumaraswamy, Babu, DHarish, , FSmarandache. "Theory on Duplicity of Finite Neutrosophic Rings." International Journal of Neutrosophic Science, vol. , no. , , pp. . DOI:
, T., Naidu, K., Babu, D., , F. (). Theory on Duplicity of Finite Neutrosophic Rings. International Journal of Neutrosophic Science, (), . DOI:
, TCHALAPATHI, Naidu, KKumaraswamy, Babu, DHarish, , FSmarandache. "Theory on Duplicity of Finite Neutrosophic Rings." International Journal of Neutrosophic Science , no. (): . DOI:
, T., Naidu, K., Babu, D., , F. () 'Theory on Duplicity of Finite Neutrosophic Rings', International Journal of Neutrosophic Science, (), pp. . DOI:
T, Naidu K, Babu D, F. Theory on Duplicity of Finite Neutrosophic Rings. International Journal of Neutrosophic Science. ;():. DOI:
T. , K. Naidu, D. Babu, F. , "Theory on Duplicity of Finite Neutrosophic Rings," International Journal of Neutrosophic Science, vol. , no. , pp. , . DOI:
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