Mohammad Mehdi Zahedi - Department of Applied Mathematics, Faculty of Sciences and Modern Technologies, Graduate University of Advanced Technology, Kerman, Iran
Mohsen Hadinejad - Department of Applied Mathematics, Faculty of Sciences and Modern Technologies, Graduate University of Advanced Technology, Kerman, Iran

In this article, we introduce homomorphism on equality algebras and we prove thatif f is epimorphism and P is a prime ideal, then f(P) is a prime ideal. Furthermore weexpress initial section (IS) and terminal initial section (TIS) on equality algebras andinvestigate the relationships between them and homomorphisms. Finally, we introduceterminal initial section of B with respect to f (BfIS), and prove that if TIS(B) is anideal, then BfIS is also ideal.

Equality algebra, Homomorphism, Annihilator, Ideal, Initial section