aspg-24-978-1791482220 20261008175700 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group Journal of Neutrosophic and Fuzzy Systems JNFS 2771-6430 2771-6449 2021 1 2 Katy D. Ahmad Islamic University Of Gaza, Palestine Mikail Bal Gaziantep University, Turkey Arwa A. Hajjari Cairo University, Egypt. Rozina Ali Cairo University, Egypt The Objective of this paper is to study the group of units problem in two different kinds of neutrosophic structures (neutrosophic rings and refined neutrosophic rings), where we use the concept of AH-isometry to classify neutrosophic rings\refined neutrosophic rings as direct products of classical rings with itself. Also, this classification will lead to the algebraic structure of the corresponding group of units. 2021 89 98 978 https://creativecommons.org/licenses/by/4.0/ 10.54216/JNFS.010205 https://www.americaspg.com/journal/24/article/978 https://www.americaspg.com/storage/4631.pdf