Galoitica: Journal of Mathematical Structures and Applications
GJMSA
2834-5568
10.54216/GJSMA
https://www.americaspg.com/journals/show/2331
2022
2022
On Nil-clean Neutrosophic Rings
Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam - 638401, Tamil Nadu, India.
P.
Prabakaran
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).
2023
2023
45
51
10.54216/GJMSA.090105
https://www.americaspg.com/articleinfo/33/show/2331