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On the Arithmetic of Strongly Primary Monoids

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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.

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Authors and Affiliations

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

    Alfred Geroldinger, Wolfgang Hassler & Gunter Lettl

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  1. Alfred Geroldinger
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  2. Wolfgang Hassler
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  3. Gunter Lettl
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Correspondence to Alfred Geroldinger, Wolfgang Hassler or Gunter Lettl.

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Geroldinger, A., Hassler, W. & Lettl, G. On the Arithmetic of Strongly Primary Monoids. Semigroup Forum 75, 567–587 (2007). https://doi.org/10.1007/s00233-007-0721-y

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  • DOI: https://doi.org/10.1007/s00233-007-0721-y

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