Journal of Neutrosophic and Fuzzy Systems JNFS 2771-6449 2771-6430 10.54216/JNFS https://www.americaspg.com/journals/show/978 2021 2021 Islamic University Of Gaza, Palestine Katy D. Ahmad Gaziantep University, Turkey Mikail Bal Cairo University, Egypt. Arwa A. Hajjari Cairo University, Egypt Rozina Ali 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 2021 89 98 10.54216/JNFS.010205 https://www.americaspg.com/articleinfo/24/show/978