Superstability and Stability of Approximate n-Ring Homomorphisms between Quasi-Banach Algebras

Let n ≥ 2, A and B be complex algebras. A mapping T : A → B is called n-ring homomorphism if for all elements a sub 1 /sub ;, ..., a sub n /sub ; x, y ∈ A, we have T(x + y) = T(x) + T(y) and T(a sub 1 /sub ... a sub n /sub ) = T(a sub 1 /sub ) ... T(a sub n /sub ): In this paper, we prove the superstability of n-ring homomorphisms on quasi- normed algebras. In addition, we establish the stability of n-ring homomor- phisms in quasi-Banach algebras.