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Symmetry 2018, 10(8), 345;

Neutrosophic Duplets of {Zpn,×} and {Zpq,×} and Their Properties

School of Computer Science and Engineering, VIT, Vellore 632014, India
Department of Mathematics, University of New Mexico, 705 Gurley Avenue, Gallup, NM 87301, USA
Author to whom correspondence should be addressed.
Received: 31 July 2018 / Revised: 13 August 2018 / Accepted: 15 August 2018 / Published: 17 August 2018
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The notions of neutrosophy, neutrosophic algebraic structures, neutrosophic duplet and neutrosophic triplet were introduced by Florentin Smarandache. In this paper, the neutrosophic duplets of Z p n , Z p q and Z p 1 p 2 p n are studied. In the case of Z p n and Z p q , the complete characterization of neutrosophic duplets are given. In the case of Z p 1 p n , only the neutrosophic duplets associated with p i s are provided; i = 1 , 2 , , n . Some open problems related to neutrosophic duplets are proposed. View Full-Text
Keywords: neutrosophic duplets; semigroup; neutrosophic triplet groups neutrosophic duplets; semigroup; neutrosophic triplet groups
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Kandasamy W.B., V.; Kandasamy, I.; Smarandache, F. Neutrosophic Duplets of {Zpn,×} and {Zpq,×} and Their Properties. Symmetry 2018, 10, 345.

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