Volume 8 , Issue 2 , PP: 38-48, 2024 | Cite this article as | XML | Html | PDF | Full Length Article
Lee Xu 1 * , Maretta Sarkis 2 , Ammar Rawashdeh 3 , Ahmad Khaldi 4
Doi: https://doi.org/10.54216/JNFS.080205
The ring of n-cyclic refined neutrosophic integers is a logical extension of the integer ring Z based on a special multiplication operation defined between the indeterminacy algebraic elements. In this paper, we provide a full description of the 4-cyclic refined neutrosophic integer roots of unity, where we prove that for odd values of n we get exactly two different solutions. For even values of n, we get exactly 15 different solutions. On the other hand, we characterize the m-cyclic refined neutrosophic modulo integers rings and present many of their algebraic properties based on neutrosophic homomorphisms and substructures.
4-cyclic refined neutrosophic integer , Diophantine equation , 4-cyclic refined neutrosophic solution , roots of unity , m-cyclic refined neutrosophic modulo integers ring.
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