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Open AccessArticle

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

1
School of Computer Science and Engineering, VIT, Vellore 632014, India
2
Department of Mathematics, University of New Mexico, 705 Gurley Avenue, Gallup, NM 87301, USA
*
Author to whom correspondence should be addressed.
Symmetry 2018, 10(8), 345; https://doi.org/10.3390/sym10080345
Received: 31 July 2018 / Revised: 13 August 2018 / Accepted: 15 August 2018 / Published: 17 August 2018
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
MDPI and ACS Style

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

AMA Style

Kandasamy W.B. V, Kandasamy I, Smarandache F. Neutrosophic Duplets of {Zpn,×} and {Zpq,×} and Their Properties. Symmetry. 2018; 10(8):345.

Chicago/Turabian Style

Kandasamy W.B., Vasantha; Kandasamy, Ilanthenral; Smarandache, Florentin. 2018. "Neutrosophic Duplets of {Zpn,×} and {Zpq,×} and Their Properties" Symmetry 10, no. 8: 345.

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