Neutrosophic Quadruple Vector Spaces and Their Properties

Vasantha Kandasamy W.B., Ilanthenral Kandasamy and Florentin Smarandache
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Vasantha Kandasamy W.B.: School of Computer Science and Engineering, Vellore Institute of Technology, Vellore 632014, India
Ilanthenral Kandasamy: School of Computer Science and Engineering, Vellore Institute of Technology, Vellore 632014, India
Florentin Smarandache: Department of Mathematics, University of New Mexico, 705 Gurley Avenue, Gallup, NM 87301, USA

Mathematics, 2019, vol. 7, issue 8, 1-8

Abstract: In this paper authors for the first time introduce the concept of Neutrosophic Quadruple (NQ) vector spaces and Neutrosophic Quadruple linear algebras and study their properties. Most of the properties of vector spaces are true in case of Neutrosophic Quadruple vector spaces. Two vital observations are, all quadruple vector spaces are of dimension four, be it defined over the field of reals R or the field of complex numbers C or the finite field of characteristic p , Z p ; p a prime. Secondly all of them are distinct and none of them satisfy the classical property of finite dimensional vector spaces. So this problem is proposed as a conjecture in the final section.

Keywords: Neutrosophic Quadruple (NQ); Neutrosophic Quadruple set; NQ vector spaces; NQ linear algebras; NQ basis; NQ vector spaces; orthogonal or dual NQ vector subspaces (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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