International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/305 2020 2020 Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria E.O. Adeleke Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria A.A.A. Agboola Department of Mathematics & Science, University of New Mexico, 705 Gurley Ave., Gallup, NM 87301, USA F. Smarandache This paper is the continuation of the work started in the paper titled “Refined Neutrosophic Rings I”. In the present paper, we study refined neutrosophic ideals and refined neutrosophic homomorphisms along their elementary properties. It is shown that if R = Z(I1, I2) is a refined neutrosophic ring of integers and J = nZ(I1, I2) is a refined neutrosophic ideal of R, then RJ Zn(I1, I2). 2020 2020 89 94 10.54216/IJNS.020205 https://www.americaspg.com/articleinfo/21/show/305