Neutrosophic Triplet Cosets and Quotient Groups
Faculty of Arts and Sciences, Department of Mathematics, Gaziantep University, 27310 Gaziantep, Turkey
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Symmetry 2018, 10(4), 126; https://doi.org/10.3390/sym10040126
Received: 29 March 2018 / Revised: 16 April 2018 / Accepted: 17 April 2018 / Published: 20 April 2018
(This article belongs to the Special Issue Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets)
In this paper, by utilizing the concept of a neutrosophic extended triplet (NET), we define the neutrosophic image, neutrosophic inverse-image, neutrosophic kernel, and the NET subgroup. The notion of the neutrosophic triplet coset and its relation with the classical coset are defined and the properties of the neutrosophic triplet cosets are given. Furthermore, the neutrosophic triplet normal subgroups, and neutrosophic triplet quotient groups are studied.
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Keywords:
neutosophic extended triplet subgroups; neutrosophic triplet cosets; neutrosophic triplet normal subgroups; neutrosophic triplet quotient 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
MDPI and ACS Style
Bal, M.; Shalla, M.M.; Olgun, N. Neutrosophic Triplet Cosets and Quotient Groups. Symmetry 2018, 10, 126.
AMA Style
Bal M, Shalla MM, Olgun N. Neutrosophic Triplet Cosets and Quotient Groups. Symmetry. 2018; 10(4):126.
Chicago/Turabian StyleBal, Mikail; Shalla, Moges M.; Olgun, Necati. 2018. "Neutrosophic Triplet Cosets and Quotient Groups" Symmetry 10, no. 4: 126.
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