On Some Special Elements In Neutrosophic Rings and Refined Neutrosophic Rings

Authors : Mohammad Abobala

Pages : 33-39

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Publication Date : 2020-12-31

Article Type : Research

Abstract :Idempotent elements in a ring R are the elements with the condition a^2=a. This paper introduces the criterion of any element in a refined neutrosophic ring to be idempotent. Also, the concept of symmetric and supersymmetric elements in a neutrosophic ring R(I), and a refined neutrosophic ring R(I_1,I_2) are defined. Also, the invertibility of these elements is discussed.
Keywords : refined neutrosophic ring, Neutrosophic ring, idempotent element, symmetric element, supersymmetric element