International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/2351 2020 2020 University of Debrecen, Department of Mathematical and Computational Science, Debrecen, Hungary Narek Badjajian Universidad Regional Autónoma de los Andes Sede Babahoyo (UNIANDES Babahoyo). Ecuador Maikel Leyva Vazquez Universidad Regional Autónoma de los Andes (UNIANDES Babahoyo), Ecuador Batista Hernández Noel This paper aims to solve the group of units problem for 3-cyclic real and rational refined neutrosophic rings and 4-cyclic real and rational refined neutrosophic rings, where ring isomorphisms between the realrational 3-cyclic and 4-cyclic refined neutrosophic rings and the direct product of some field extensions of Q and R. These isomorphisms will help in classifying the group of units of each studied ring in terms of direct products of classical well-known abelian groups. Also, we use the classification isomorphisms to determine all ideals in these classes of algebraic rings. 2024 2024 26 31 10.54216/IJNS.230203 https://www.americaspg.com/articleinfo/21/show/2351