On the Split-Complex Neutrosophic Numbers and Their Algebraic Properties

Abuobida M. A. Alfahal^1,*, Yaser A. Alhasan² , Raja A. Abdulfatah³, Rozina Ali

^1,2,3Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia

⁴Cairo University, department of mathematics, Cairo , Egypt

Emails: a.alfahal@psau.edu.sa; y.alhasan@psau.edu.sa; r.abdulfatah@psau.edu.sa; Rozyyy123n@gmail.com

^*Corresponding author:  a.alfahal@psau.edu.sa

Abstract

The objective of this paper is to define for the first time the concept of split-complex numbers as a new generalization of classical split-complex numbers by using neutrosophic numbers. Also, we study the elementary properties of this new numerical class such as equations, conjugates, and vector spaces formed by it. On the other hand, some special AH-subspaces will be presented and handled with many corresponding examples.

Keywords: split-complex number; neutrosophic number; neutrosophic split-complex number