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Correction published on 24 June 2019, see Mathematics 2019, 7(6), 565.
Open AccessArticle

Study on the Development of Neutrosophic Triplet Ring and Neutrosophic Triplet Field

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Department of Mathematics, Environment and Science, University of Southern Queensland, Springfield 4300, QLD, Australia
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Department of Mathematics, University of New Mexico, 705 Gurley Avenue, Gallup, NM 87301, USA
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Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan
*
Author to whom correspondence should be addressed.
Mathematics 2018, 6(4), 46; https://doi.org/10.3390/math6040046
Received: 19 February 2018 / Revised: 17 March 2018 / Accepted: 18 March 2018 / Published: 23 March 2018
Rings and fields are significant algebraic structures in algebra and both of them are based on the group structure. In this paper, we attempt to extend the notion of a neutrosophic triplet group to a neutrosophic triplet ring and a neutrosophic triplet field. We introduce a neutrosophic triplet ring and study some of its basic properties. Further, we define the zero divisor, neutrosophic triplet subring, neutrosophic triplet ideal, nilpotent integral neutrosophic triplet domain, and neutrosophic triplet ring homomorphism. Finally, we introduce a neutrosophic triplet field. View Full-Text
Keywords: ring; field; neutrosophic triplet; neutrosophic triplet group; neutrosophic triplet ring; neutrosophic triplet field ring; field; neutrosophic triplet; neutrosophic triplet group; neutrosophic triplet ring; neutrosophic triplet field
MDPI and ACS Style

Ali, M.; Smarandache, F.; Khan, M. Study on the Development of Neutrosophic Triplet Ring and Neutrosophic Triplet Field. Mathematics 2018, 6, 46.

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