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Krull orders in nilpotent groups: corrigendum and addendum

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Abstract

Noncommutative Krull domains that are determined by submonoids of torsion-free nilpotent groups are investigated. A complete description is given in case the group G is nilpotent of class two and its abelianisation is torsion-free and satisfies the ascending chain condition on cyclic subgroups. The result corrects and extends an earlier result by the authors to the case that G is not necessarily finitely generated and yields a class of non-Noetherian algebras that have a nice arithmetical structure.

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Authors and Affiliations

  1. Department of Mathematics, Vrije Universiteit Brussel, Pleinlaan 2, 1050, Brussel, Belgium

    Eric Jespers

  2. Institute of Mathematics, University of Warsaw, Banacha 2, 02-097, Warsaw, Poland

    Jan Okniński

Authors
  1. Eric Jespers
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  2. Jan Okniński
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Correspondence to Eric Jespers.

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Research supported by Onderzoeksraad of Vrije Universiteit Brussel, Fonds voor Wetenschappelijk Onderzoek (Belgium) and National Science Centre Grant DEC-2013/09/B/ST1/04408 (Poland).

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Jespers, E., Okniński, J. Krull orders in nilpotent groups: corrigendum and addendum. Arch. Math. 106, 295–299 (2016). https://doi.org/10.1007/s00013-015-0860-4

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  • DOI: https://doi.org/10.1007/s00013-015-0860-4

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