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

Author

Listed:
  • Mumtaz Ali

    (Department of Mathematics, Environment and Science, University of Southern Queensland, Springfield 4300, QLD, Australia)

  • Florentin Smarandache

    (Department of Mathematics, University of New Mexico, 705 Gurley Avenue, Gallup, NM 87301, USA)

  • Mohsin Khan

    (Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan)

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.

Suggested Citation

  • Mumtaz Ali & Florentin Smarandache & Mohsin Khan, 2018. "Study on the Development of Neutrosophic Triplet Ring and Neutrosophic Triplet Field," Mathematics, MDPI, vol. 6(4), pages 1-11, March.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:4:p:46-:d:137750
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