Nearly Ring Homomorphisms and Nearly Ring Derivations on Non-Archimedean Banach Algebras

الملخص EN

We prove the generalized Hyers-Ulam stability of homomorphisms and derivations on non-Archimedean Banach algebras.

Moreover, we prove the superstability of homomorphisms on unital non-Archimedean Banach algebras and we investigate the superstability of derivations in non-Archimedean Banach algebras with bounded approximate identity.