Monatshefte für Mathematik

, Volume 106, Issue 3, pp 205–210

Subsemigroups of finitely generated groups with divisor-theory


  • Günter Lettl
    • Institut für MathematikKarl-Franzens-Universität

DOI: 10.1007/BF01318681

Cite this article as:
Lettl, G. Monatshefte für Mathematik (1988) 106: 205. doi:10.1007/BF01318681


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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© Springer-Verlag 1988