On Some Special Elements In Neutrosophic Rings and Refined Neutrosophic Rings

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

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