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2024/105/1-2 (14) — DOI: 10.5486/PMD.2024.9862 — pp. 223-231

On an alienation result of R. Ger

Authors: Bruce Ebanks Orcid.org link for Bruce Ebanks

Abstract:

Roman Ger proved in 2010 that the Cauchy additive and exponential functional equations on a commutative monoid are alien to each other, modulo quadratic equivalence. We extend that result to a general semigroup.

Keywords: semigroup, additive function, exponential function, multiplicative function

Mathematics Subject Classification: 39B52, 39B82