Neutrosophic Rings and Neutrosophic Matrices

Zhenqiang Zhou and Nenghui Zhu

Journal of Mathematics, 2026, vol. 2026, 1-7

Abstract: Let R be an arbitrary ring and R be the neutrosophic ring. We first show that R is isomorphic to the direct sum R⊕R. Furthermore, we investigate matrices over a neutrosophic field F and derive an explicit formula for the determinant of a neutrosophic matrix. Finally, the characterizations for a neutrosophic matrix to be invertible and orthogonal are given, respectively.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7788768

DOI: 10.1155/jom/7788768

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