On Refined Neutrosophic Vector Spaces II

M.A.; A.A.A.; B.S.; S.A.

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

Full Length Article

Volume 9 • Issue 1 • PP: 22-36 • 2020

On Refined Neutrosophic Vector Spaces II

M.A. Ibrahim ^1*

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,

A.A.A. Agboola ¹

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,

B.S. Badmus ²

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,

S.A. Akinleye ¹

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¹Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria

²Department of Physics, Federal University of Agriculture, Abeokuta, Nigeria

* Corresponding Author.

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

format_quote Cite this article

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

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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&nbsp vector space homomorphism.

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