aspg-21-565-1791475367 20261008160247 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2020 9 1 M.A. Ibrahim Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria A.A.A. Agboola Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria B.S. Badmus Department of Physics, Federal University of Agriculture, Abeokuta, Nigeria S.A. Akinleye Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria The concept of refined neutrosophic vector spaces was introduced by Ibrahim et al. in [20] and the present paper is the continuation of the work. In the present paper, further studies on neutrosophic vector spaces are presented. Specifically, linear dependence, independence, bases and dimensions of refined neutrosophic vector spaces are studied with several results and examples presented. Also, refined neutrosophic homomorphisms of refined neutrosophic vector spaces are studied and existence of linear maps between weak refined Neutrosophic vector spaces and weak neutrosophic vector spaces are established. 2020 22 36 565 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.090102 https://www.americaspg.com/journal/21/article/565 https://www.americaspg.com/storage/1300.pdf