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
(This article belongs to the Special Issue Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets)
In this paper we study the neutrosophic triplet groups for and prove this collection of triplets 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 , with as the multiplicative identity. The new notion of pseudo primitive element is introduced in analogous to primitive elements in , where p is a prime. Open problems based on the pseudo primitive elements are proposed. Here, we restrict our study to and take only the usual product modulo .
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Keywords:
neutrosophic triplet groups; semigroup; semi-neutrosophic triplets; classical group of neutrosophic triplets; S-semigroup of neutrosophic triplets; pseudo primitive elements
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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 StyleW.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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