International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/888 2020 2020 Cairo University, Egypt Arwa A. Hajjari Cairo University, Egypt Rozina Ali The objective of this paper is to answer an open question asked in [42], about the equivalence between Kothe's conjecture in a ring R and its corresponding refined neutrosophic ring . Where it proves that Kothe's conjecture is true in R if and only if it is true in . 2021 2021 80 87 10.54216/IJNS.160203 https://www.americaspg.com/articleinfo/21/show/888