Abstract
In this paper we will characterize all subsemigroups of finitely generated abelian groups, for which there exists a divisor-theory. Besides an explicit geometrical construction of the divisor-theory is given, and it is shown that any finitely generated abelian group occurs as the divisor-class-group of some semigroup.
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Lettl, G. Subsemigroups of finitely generated groups with divisor-theory. Monatshefte für Mathematik 106, 205–210 (1988). https://doi.org/10.1007/BF01318681
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DOI: https://doi.org/10.1007/BF01318681