International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/565 2020 2020 Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria admin admin Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria A.A.A. Agboola Department of Physics, Federal University of Agriculture, Abeokuta, Nigeria B.S. Badmus Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria S.A. Akinleye 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 2020 22 36 10.54216/IJNS.090102 https://www.americaspg.com/articleinfo/21/show/565