International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/320 2020 2020 Department of Mathematics, Lebanese International University, Bekaa, Lebanon Madeleine Al- Tahan Department of Mathematics Yazd University, Yazd, Iran Bijan Davvaz The connection between neutrosophy and algebra has been of great interest with respect to many researchers. The objective of this paper is to provide a connection between neutrosophic ℵ−structures and subtraction algebras. In this regard, we introduce the concept of neutrosophic ℵ−ideals in subtraction algebra. Moreover, we study its properties and find a necessary and sufficient condition for a neutrosophic ℵ−structure to be a neutrosophic ℵ−ideal. 2020 2020 44 53 10.54216/IJNS.030105 https://www.americaspg.com/articleinfo/21/show/320