Abstract
The aim of this paper is to prove two Farah’s Theorems concerning approximate group homomorphisms, without some assumptions present in Farah’s Theorems. Farah’s approach to the Ulam’s type stability of homomorphisms between finite groups seems appropriate and interesting.
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References
Farah, I.: Approximate homomorphisms. II: group homomorphisms. Combinatorica 20(1), 47–60 (2000)
Forti, G.L.: Hyers–Ulam stability of functional equations in several variables. Aequationes Math. 50, 143–190 (1995)
Ulam, S.M.: Problems in Modern Mathematics. Wiley, New York (1964)
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Przebieracz, B. Remarks on Farah’s Theorems. Results Math 72, 1959–1966 (2017). https://doi.org/10.1007/s00025-017-0722-4
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DOI: https://doi.org/10.1007/s00025-017-0722-4