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Some recent results and open problems on sets of lengths of Krull monoids with finite class group

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  • Additional Information
    • Contributors:
      Laboratoire Analyse, Géométrie et Applications (LAGA); Université Paris 8 Vincennes-Saint-Denis (UP8)-Université Paris 13 (UP13)-Institut Galilée-Centre National de la Recherche Scientifique (CNRS); Scott Chapman; Marco Fontana; Alfred Geroldinger; Bruce Olberding; ANR-12-BS01-0011,CAESAR,Combinatoire Additive: Ensembles, Séquences et Applications Remarquables(2012)
    • Publication Information:
      HAL CCSD
      Springer International Publishing
    • Publication Date:
      2016
    • Collection:
      Université Paris Lumières: HAL
    • Abstract:
      International audience ; Some of the fundamental notions related to sets of lengths of Krull monoids with finite class group are discussed, and a survey of recent results is given. These include the elasticity and related notions, the set of distances, and the structure theorem for sets of lengths. Several open problems are mentioned.
    • Relation:
      info:eu-repo/semantics/altIdentifier/arxiv/1511.08080; hal-01233263; https://hal.science/hal-01233263; https://hal.science/hal-01233263/document; https://hal.science/hal-01233263/file/survey_graz_schmid_hal.pdf; ARXIV: 1511.08080
    • Accession Number:
      10.1007/978-3-319-38855-7_14
    • Online Access:
      https://doi.org/10.1007/978-3-319-38855-7_14
      https://hal.science/hal-01233263
      https://hal.science/hal-01233263/document
      https://hal.science/hal-01233263/file/survey_graz_schmid_hal.pdf
    • Rights:
      info:eu-repo/semantics/OpenAccess
    • Accession Number:
      edsbas.F8F24DB8