399 214
Full Length Article
Volume 4 , Issue 1, PP: 20-35 , 2020

Title

On Neutrosophic Quadruple Hypervector Spaces

Authors Names :   M.A. Ibrahim, A.A.A. Agboola , E.O. Adeleke, S.A. Akinleye   1 *  

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

    Email :  muritalaibrahim40@gmail.com, agboolaaaa@funaab.edu.ng, yemi376@yahoo.com, sa akinleye@yahoo.com



Doi   :  10.5281/zenodo.3752906


Abstract :

The objective of this paper is to study Neutrosophic Quadruple Hypervector Spaces and present some of their basic definitions and properties. This paper generalizes the concept of Neutrosophic Hypervector spaces by presenting their Neutrosophic Quadruple forms. Some notions such as Neutrosphic hypersubspaces, linear combination, linearly dependence and linearly independence are generalized. Some interesting results and examples to illustrate the new concepts introduced are presented.

Keywords :

Neutrosophic Quadruple (NQ) , Neutrosophic Quadruple set , NQ Hypervector spaces , Super strong NQ Hypervector spaces , strong NQ Hypervector spaces , Weak NQ Hypervector spaces , NQ field , Neutrosophic field , NQ Hypersubspaces , NQ bases.

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