On the Classification of 3-Cyclic Refined Real Vector Spaces and Related Inner Products

Mohammad Abobala^1,*, Hasan Sankari¹

¹Department of Mathematics, Faculty of Science, Tishreen University, Latakia, Syria

Emails: Mohammadabobala777@gmail.com; Hasan2sankari@gmail.com

Abstract

This paper is concerned with the study of the classification of 3-cyclic refined real vector spaces by semi-module isomorphisms, where we use this algebraic technique to find the algebraic relationship between real 3-cyclic refined vector spaces and classical vector spaces. Also, we define the inner products on these spaces and prove many related inequalities.

Keywords: 3-cyclic refined neutrosophic vector space; Semi-isomorphism, Orthogonality, Inner product