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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
Article

Abstract

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.

Keywords

Integral Domain Numerical Semigroup Integral Closure Divisor Theory Discrete Valuation Domain 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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