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A Study of Nil Ideals and Kothe’s Conjecture in Neutrosophic Rings

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  • Mohammad Abobala

Abstract

The aim of this study is to determine the necessary and sufficient condition for any AH subset to be a full ideal in a neutrosophic ring R(I) and to be a nil ideal too. Also, this work shows the equivalence between Kothe’s conjecture in classical rings and corresponding neutrosophic rings, i.e., it proves that Kothe’s conjecture is true in the neutrosophic ring R(I) if and only if it is true in the corresponding classical ring R.

Suggested Citation

  • Mohammad Abobala, 2021. "A Study of Nil Ideals and Kothe’s Conjecture in Neutrosophic Rings," International Journal of Mathematics and Mathematical Sciences, John Wiley & Sons, vol. 2021(1).
    • Handle: RePEc:wly:jijmms:v:2021:y:2021:i:1:n:9999707
    DOI: 10.1155/2021/9999707
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    References listed on IDEAS

    as
    1. Tahir Mahmood & Ali Jaballah, 2020. "A Novel Approach towards Bipolar Soft Sets and Their Applications," Journal of Mathematics, Hindawi, vol. 2020, pages 1-11, October.
    2. Mohammad Abobala & Parimala Mani, 2021. "On the Representation of Neutrosophic Matrices by Neutrosophic Linear Transformations," Journal of Mathematics, Hindawi, vol. 2021, pages 1-5, February.
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