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International Journal of Neutrosophic Science
Volume 7 , Issue 2, PP: 62-73 , 2020 | Cite this article as | XML | Html |PDF

Title

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.

References :

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Cite this Article as :
Style #
MLA Agboola A.A.A. "Introduction to NeutroRings." International Journal of Neutrosophic Science, Vol. 7, No. 2, 2020 ,PP. 62-73 (Doi   :  https://doi.org/10.54216/IJNS.070203)
APA Agboola A.A.A. (2020). Introduction to NeutroRings. Journal of International Journal of Neutrosophic Science, 7 ( 2 ), 62-73 (Doi   :  https://doi.org/10.54216/IJNS.070203)
Chicago Agboola A.A.A. "Introduction to NeutroRings." Journal of International Journal of Neutrosophic Science, 7 no. 2 (2020): 62-73 (Doi   :  https://doi.org/10.54216/IJNS.070203)
Harvard Agboola A.A.A. (2020). Introduction to NeutroRings. Journal of International Journal of Neutrosophic Science, 7 ( 2 ), 62-73 (Doi   :  https://doi.org/10.54216/IJNS.070203)
Vancouver Agboola A.A.A. Introduction to NeutroRings. Journal of International Journal of Neutrosophic Science, (2020); 7 ( 2 ): 62-73 (Doi   :  https://doi.org/10.54216/IJNS.070203)
IEEE Agboola A.A.A, Introduction to NeutroRings, Journal of International Journal of Neutrosophic Science, Vol. 7 , No. 2 , (2020) : 62-73 (Doi   :  https://doi.org/10.54216/IJNS.070203)