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

Mohammad Abobala | Zendy

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

Author(s) -

Mohammad Abobala

Publication year - 2021

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2021/9999707

Subject(s) - mathematics , conjecture , ideal (ethics) , ring (chemistry) , pure mathematics , polynomial ring , equivalence (formal languages) , combinatorics , discrete mathematics , polynomial , mathematical analysis , law , chemistry , organic chemistry , political science

#e 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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