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Badora (2002) proved the following stability result. Let  and  be nonnegative real numbers, then for every mapping  of a ring ℛ onto a Banach algebra ℬ satisfying ||(+)−()−()||≤ and ||(⋅)−()()||≤ for all ,∈ℛ, there exists a unique ring homomorphism ℎ∶ℛ→ℬ such that ||()−ℎ()||≤,∈ℛ. Moreover, ⋅(()−ℎ())=0,(()−ℎ())⋅=0, for all ∈ℛ and all  from the algebra generated by ℎ(ℛ). In this paper, we generalize Badora's stability result above on ring homomorphisms for Riesz algebras with extended norms

Some Generalizations of Ulam-Hyers Stability Functional Equations to Riesz Algebras