中性粒细胞环中的零理想和Kothe猜想的研究

Int. J. Math. Math. Sci. Pub Date : 2021-06-07 DOI:10.1155/2021/9999707

Mohammad Abobala

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引用次数: 5

摘要

本研究的目的是确定任何AH子集在中性粒细胞环R(I)中为满理想和为零理想的充要条件。同时，本文还证明了Kothe猜想在经典环中与相应的中性环之间的等价性，即证明Kothe猜想在中性环R(I)中为真当且仅当在相应的经典环R中为真。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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Int. J. Math. Math. Sci.

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