Galoitica: Journal of Mathematical Structures and Applications
Journal DOI
2834-5568ISSN (Online)
Volume 9 , Issue 1 , PP: 45-51, 2023 | Cite this article as | XML | Html | PDF
P. Prabakaran 1 *
Doi: https://doi.org/10.54216/GJMSA.090105
A ring is said to be nil-clean if every element of the ring can be written as a sum of an idempotent element and a nilpotent element of the ring. In this paper, we generalize this argument to neutrosophic structure. We introduce the structure of nil-clean neutrosophic ring and some of its elementary properties are presented. Also, we have found the equivalence between classical nil-clean ring R and the corresponding neutrosophic ring R(I), refined neutrosophic ring R(I1, I2), and n-refined neutrosophic ring Rn(I).
Clean ring , nil-clean ring , neutrosophic ring , refined neutrosophic ring , clean neutrosophic ring , nil-clean neutrosophic ring.
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