Next Article in Journal / Special Issue
A Neutrosophic Set Based Fault Diagnosis Method Based on Multi-Stage Fault Template Data
Previous Article in Journal
Perception of 3D Symmetrical and Nearly Symmetrical Shapes
Previous Article in Special Issue
Applications of Neutrosophic Bipolar Fuzzy Sets in HOPE Foundation for Planning to Build a Children Hospital with Different Types of Similarity Measures
Article Menu
Issue 8 (August) cover image

Export Article

Open AccessArticle
Symmetry 2018, 10(8), 345; https://doi.org/10.3390/sym10080345

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.
Received: 31 July 2018 / Revised: 13 August 2018 / Accepted: 15 August 2018 / Published: 17 August 2018
Full-Text   |   PDF [720 KB, uploaded 17 August 2018]

Abstract

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).
SciFeed

Share & Cite This Article

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.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Symmetry EISSN 2073-8994 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top