On the Fuzzy Semi-Unital Rings and Their Algebraic Properties

Abuobida M. Ahmed Alfahal^1,* Raja Abdullah Abdulfatah², Lee Xu³, Yaser Ahmad Alhasan⁴

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

²Deanship the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia

^3. University of Chinese Academy of Sciences, CAS, Mathematics Department, Beijing, China

⁴Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia  

Emails: a.alfahal@psau.edu.sa; r.abdulfatah@psau.edu.sa; r.abdulfatah@psau.edu.sa; Leexu1244@yahoo.com; y.alhasan@psau.edu.sa

Abstract

Fuzzy rings are considered as generalizations of classical rings, where they are defined by using the fuzzical membership function. This paper is dedicated to defining and study fuzzy semi-unital ring of order n in a similar way to the same classical type of rings, where many elementary properties will be discussed in terms of theorems with many related examples that clarify the validity of this work.

Keywords: Fuzzy Set; Fuzzy ring; Fuzzy ideal; fuzzy semi-unital element.