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A remark on sums of units

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Abstract

For everyn≧2 we construct a factorial domainR for whichn minimal with the property that every element can be written as the sum of at mostn units.

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References

  1. B. Goldsmith, S. Pabst andA. Scott, Unit Sum Numbers of Rings and Modules, Quart. J. Math. Oxford (2),49, 331–344 (1998).

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  2. P. Vamos, 2-good rings. Talk at the Festkolloquium and Conference on Algebra, Model Theory and Theoretical Physics celebrating Rüdiger Göbel's 60th Birthday in Essen, February 2001.

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Authors and Affiliations

  1. Institut für mathematische Logik und Grundlagen der Mathematik der Albert-Ludwigs-Universität, Eckerstr. 1, D-79104, Freiburg

    Bernhard Herwig & Martin Ziegler

Authors
  1. Bernhard Herwig
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  2. Martin Ziegler
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Dedicated to Rüdiger Göbel on the occasion of his 60th birthday

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Herwig, B., Ziegler, M. A remark on sums of units. Arch. Math 79, 430–431 (2002). https://doi.org/10.1007/BF02638379

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  • DOI: https://doi.org/10.1007/BF02638379

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