International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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Volume 7 , Issue 2 , PP: 62-73, 2020 | Cite this article as | XML | Html | PDF | Full Length Article

Introduction to NeutroRings

Agboola A.A.A 1 *

  • 1 Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria - (agboolaaaa@funaab.edu.ng)
  • Doi: https://doi.org/10.54216/IJNS.070203

    Abstract

    The objective of this paper is to introduce the concept of NeutroRings by considering three NeutroAxioms (NeutroAbelianGroup (additive), NeutroSemigroup (multiplicative) and NeutroDistributivity (multiplication over addition)). Several interesting results and examples on NeutroRings, NeutroSubgrings, NeutroIdeals, NeutroQuotientRings and NeutroRingHomomorphisms are presented. It is shown that the 1st isomorphism theorem of the classical rings holds in the class of NeutroRings.

    Keywords :

    Neutrosophy, NeutroGroup, NeutroSubgroup, NeutroRing, NeutroSubring, NeutroIdeal, Neutro-QuotientRing and NeutroRingHomomorphism.

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    Cite This Article As :
    A.A.A, Agboola. Introduction to NeutroRings. International Journal of Neutrosophic Science, vol. , no. , 2020, pp. 62-73. DOI: https://doi.org/10.54216/IJNS.070203
    A.A.A, A. (2020). Introduction to NeutroRings. International Journal of Neutrosophic Science, (), 62-73. DOI: https://doi.org/10.54216/IJNS.070203
    A.A.A, Agboola. Introduction to NeutroRings. International Journal of Neutrosophic Science , no. (2020): 62-73. DOI: https://doi.org/10.54216/IJNS.070203
    A.A.A, A. (2020) . Introduction to NeutroRings. International Journal of Neutrosophic Science , () , 62-73 . DOI: https://doi.org/10.54216/IJNS.070203
    A.A.A A. [2020]. Introduction to NeutroRings. International Journal of Neutrosophic Science. (): 62-73. DOI: https://doi.org/10.54216/IJNS.070203
    A.A.A, A. "Introduction to NeutroRings," International Journal of Neutrosophic Science, vol. , no. , pp. 62-73, 2020. DOI: https://doi.org/10.54216/IJNS.070203