A scientific study in the College of Science, Department of Mathematics, prepared by Professor Dr. Shuker Mahmood Khalil and postgraduate student Arkan Ajil Atshan, entitled (Neutrosophic RHO –Ideal with Complete Neutrosophic RHO–Ideal in  RHO–Algebras), and it was published in the journal (Neutrosophic Sets and Systems), which is A classified magazine issued by the American Publishing House (University of New Mexico) and (Q1) with a score score (4.9).