International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/13 2020 2020 Dept. of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan Mohsin Khalid Dept. of Mathematics, Lahore Collage For Women University, Lahore, Pakistan Neha Andaleeb Khalid Dep.t of Mathematics,National College of Business Administration Economics, Lahore, 54000, Pakistan Hasan Khalid Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Casablanca, Morocco Said Broumi The purpose of this paper is to interpret the multiplication of neutrosophic cubic set. Here we define the notation of ɤ-multiplication of neutrosophic cubic set and study it with the help of neutrosophic cubic M-subalgebra, neutrosophic cubic normal ideal and neutrosophic cubic closed normal ideal. We also study ɤ-multiplication under homomorphism and cartesian product through significant characteristics. 2020 2020 64 73 10.54216/IJNS.010202 https://www.americaspg.com/articleinfo/21/show/13