The Characterization of 4-Cyclic Refined Vector Spaces

Mohammad Abobala^1,*, Hasan Sankari¹

¹Department of mathematics, Latakia University, Latakia, Syria

Emails: Mohammadabobala777@gmail.com; hasansankari2@gmail.com

Abstract

This paper is dedicated to study 4-cyclic refined vector spaces, where we classify these spaces by using semi-module isomorphisms as direct product of classical complex vector spaces. In addition, we study the inner products defined over these structures and we present sufficient conditions for 4-cyclic refined orthogonality.

Keywords: 4-cyclic refined space; 4-cyclic refined inner product; Orthogonal basis; 4-cyclic refined matrix