Some (δ, γ)-fuzzy homomorphism theorem on rings

Abstract

In this article we expand the notion of (δ, γ) - fuzzy kernel of a (δ, γ) - fuzzy homomorphism on rings and also we show that it is a (δ, γ) - fuzzy ideal of the domain ring. We can also prove that any (δ, γ) - fuzzy ideal of a ring is a (δ, γ) - fuzzy kernel of some (δ, γ) – fuzzy epimorphism, namely the canonical (δ, γ) – fuzzy epimorphism. End of this article we formulate and proven the fundamental theorem of (δ, γ) - fuzzy homomorphism and the first, the second and the third (δ, γ) - fuzzy isomorphism theorem on rings.