Semigroup Forum

, Volume 75, Issue 3, pp 567–587 | Cite as

On the Arithmetic of Strongly Primary Monoids

  • Alfred GeroldingerEmail author
  • Wolfgang HasslerEmail author
  • Gunter LettlEmail author


In this paper we study the arithmetic of strongly primary monoids. Numerical monoids and the multiplicative monoids of one-dimensional local Mori domains are main examples of strongly primary monoids. Our investigations focus on local tameness, a basic finiteness property in the theory of non-unique factorizations. It is well-known that locally tame strongly primary monoids have finite catenary degree and finite set of distances.


Integral Domain Numerical Semigroup Integral Closure Divisor Theory Discrete Valuation Domain 
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Copyright information

© Springer 2007

Authors and Affiliations

  1. 1.Institut fur Mathematik und Wissenschaftliches Rechnen, Karl-Franzens-Universitat Graz Heinrichstrasse 36A-8010 GrazAustria

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