On Refined Neutrosophic Vector Spaces II

M.A. Ibrahim; A.A.A. Agboola; B.S. Badmus; S.A. Akinleye

doi:https://doi.org/10.54216/IJNS.090102

On Refined Neutrosophic Vector Spaces II

M.A. Ibrahim ¹ , A.A.A. Agboola ² , B.S. Badmus ³ , S.A. Akinleye ⁴

1 Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria - (muritalaibrahim40@gmail.com)

2 Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria - (agboolaaaa@funaab.edu.ng)

3 Department of Physics, Federal University of Agriculture, Abeokuta, Nigeria - (badmusbs@yahoo.com)

4 Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria - (sa akinleye@yahoo.com)

Doi: https://doi.org/10.54216/IJNS.090102

Received: April 04, 2020 Accepted: July 08, 2020

Abstract

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.

Keywords :

Neutrosophy, neutrosophic vector space, refined neutrosophic vector space, refined neutrosophic , vector space homomorphism.

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