Mathematics and Statistics Faculty and Staff Publications

Document Type

Book

Publication Date

2017

Abstract

The innovative notion of neutrosophic triplet groups, introduced by Smarandache and Ali in 2014-2016, happens to yield the anti-element and neutral element once the element is given. It is established that the neutrosophic triplet group collection forms the classical group under product for Zn, for some specific n. However the collection is not even closed under sum. These neutrosophic triplet groups are built using only modulo integers or Cayley tables. Several interesting properties related with them are defined. It is pertinent to record that in Zn, when n is a prime number, we cannot get a neutral element which can contribute to nontrivial neutrosophic triplet groups. Further, all neutral elements in Zn are only nontrivial idempotents. Using neutrosophic triplet groups authors have defined the notion of neutrosophic triplet group matrices.

Publisher

EuropaNova ASBL, Brussels

ISSN

978-1-59973-533-7

Language (ISO)

English

Keywords

neutrosophic triplet group, algebra, neutrosophic logic

Creative Commons License

Creative Commons Attribution-Share Alike 4.0 License
This work is licensed under a Creative Commons Attribution-Share Alike 4.0 License.

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