Summary
In the first part of this paper a separation theorem is proved for disjoint subsemigroups of a given abelian semigroup. Applying this result, separation theorems and characterization theorems are obtained for semiinternal functions.
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Páles, Z. A Hahn-Banach theorem for separation of semigroups and its applications. Aeq. Math. 37, 141–161 (1989). https://doi.org/10.1007/BF01836441
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DOI: https://doi.org/10.1007/BF01836441