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Open AccessArticle

A Classical Group of Neutrosophic Triplet Groups Using {Z2p, ×}

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(6), 194; https://doi.org/10.3390/sym10060194
Received: 15 May 2018 / Revised: 24 May 2018 / Accepted: 25 May 2018 / Published: 1 June 2018
In this paper we study the neutrosophic triplet groups for a Z 2 p and prove this collection of triplets a , n e u t ( a ) , a n t i ( a ) if trivial forms a semigroup under product, and semi-neutrosophic triplets are included in that collection. Otherwise, they form a group under product, and it is of order ( p 1 ) , with ( p + 1 , p + 1 , p + 1 ) as the multiplicative identity. The new notion of pseudo primitive element is introduced in Z 2 p analogous to primitive elements in Z p , where p is a prime. Open problems based on the pseudo primitive elements are proposed. Here, we restrict our study to Z 2 p and take only the usual product modulo 2 p . View Full-Text
Keywords: neutrosophic triplet groups; semigroup; semi-neutrosophic triplets; classical group of neutrosophic triplets; S-semigroup of neutrosophic triplets; pseudo primitive elements neutrosophic triplet groups; semigroup; semi-neutrosophic triplets; classical group of neutrosophic triplets; S-semigroup of neutrosophic triplets; pseudo primitive elements
MDPI and ACS Style

W.B., V.K.; Kandasamy, I.; Smarandache, F. A Classical Group of Neutrosophic Triplet Groups Using {Z2p, ×}. Symmetry 2018, 10, 194.

AMA Style

W.B. VK, Kandasamy I, Smarandache F. A Classical Group of Neutrosophic Triplet Groups Using {Z2p, ×}. Symmetry. 2018; 10(6):194.

Chicago/Turabian Style

W.B., Vasantha K.; Kandasamy, Ilanthenral; Smarandache, Florentin. 2018. "A Classical Group of Neutrosophic Triplet Groups Using {Z2p, ×}" Symmetry 10, no. 6: 194.

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