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

Ali, Mumtaz ORCID: https://orcid.org/0000-0002-6975-5159 and Smarandache, Florentin and Khan, Mohsin (2018) Study on the Development of Neutrosophic Triplet Ring and Neutrosophic Triplet Field. Mathematics, 6:46. pp. 1-11.

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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.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Correction at ePrint 50631
Faculty/School / Institute/Centre: Historic - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences (1 Jul 2013 - 5 Sep 2019)
Faculty/School / Institute/Centre: Historic - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences (1 Jul 2013 - 5 Sep 2019)
Date Deposited: 03 Aug 2022 04:54
Last Modified: 03 Aug 2022 23:50
Uncontrolled Keywords: ring; field; neutrosophic triplet; neutrosophic triplet group; neutrosophic triplet ring; neutrosophic triplet field
Fields of Research (2008): 01 Mathematical Sciences > 0199 Other Mathematical Sciences > 019999 Mathematical Sciences not elsewhere classified
Fields of Research (2020): 49 MATHEMATICAL SCIENCES > 4999 Other mathematical sciences > 499999 Other mathematical sciences not elsewhere classified
Identification Number or DOI: https://doi.org/10.3390/math6040046
URI: http://eprints.usq.edu.au/id/eprint/50630

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