Study on the Development of Neutrosophic Triplet Ring and Neutrosophic Triplet Field
Article
Article Title | Study on the Development of Neutrosophic Triplet Ring and Neutrosophic Triplet Field |
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ERA Journal ID | 213646 |
Article Category | Article |
Authors | Ali, Mumtaz (Author), Smarandache, Florentin (Author) and Khan, Mohsin (Author) |
Journal Title | Mathematics |
Journal Citation | 6, pp. 1-11 |
Article Number | 46 |
Number of Pages | 11 |
Year | 2018 |
Publisher | MDPI AG |
Place of Publication | Switzerland |
ISSN | 2227-7390 |
Digital Object Identifier (DOI) | https://doi.org/10.3390/math6040046 |
Web Address (URL) | https://www.mdpi.com/2227-7390/6/4/46 |
Abstract | 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. |
Keywords | ring; field; neutrosophic triplet; neutrosophic triplet group; neutrosophic triplet ring; neutrosophic triplet field |
ANZSRC Field of Research 2020 | 499999. Other mathematical sciences not elsewhere classified |
Public Notes | Correction at ePrint 50631 |
Byline Affiliations | School of Agricultural, Computational and Environmental Sciences |
University of New Mexico, United States | |
Abdul Wali Khan University, Pakistan | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q799y/study-on-the-development-of-neutrosophic-triplet-ring-and-neutrosophic-triplet-field
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