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For any affine semigroup  S , the sethas a natural semigroup structure; additionally, if  S  is endowed with the discrete topology, then the semigroupcan be studied as the one-point compactification of  S . In this article, we study the derivations on semigroup algebrain relation to the derivations on semigroup algebraconsidering the metrizable topology oninduced by the one-point compactification topology of

Derivations on the algebras of the one-point compactification of affine semigroups