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A few remarks on almost \(C\)-polynomial functions. (English) Zbl 1150.39328
Summary: We give some sufficient conditions for a function transforming a commutative semigroup to a commutative group to be a polynomial function. Some stability results are also given.

39B82 Stability, separation, extension, and related topics for functional equations
39B52 Functional equations for functions with more general domains and/or ranges
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