Affiliation:
1. School of Mathematics and Statistics, Yili Normal University, Yining 835000, China
2. Institute of Applied Mathematics, Yili Normal University, Yining 835000, China
Abstract
Based on the definitions of fuzzy associative algebras and fuzzy ideals, it is proven that the intersections of fuzzy subalgebras are fuzzy subalgebras, and the intersections of fuzzy ideals are fuzzy ideals. Moreover, we prove that the kernels of fuzzy homomorphisms are fuzzy ideals. Using fuzzy ideals, the quotient structures of fuzzy associative algebras are constructed, their corresponding properties are discussed, and their homomorphism theorems are proven.
Funder
University Science Programming of Xin Jiang
Doctoral Research Foundation of Yili Normal University
Science and Technology Plan Project of Yili State
Research and Innovation Team Project of Yili Normal University
High-level Nurturing Program of Yili Normal University