Krull orders in nilpotent groups: corrigendum and addendum
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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.
KeywordsKrull order Semigroup algebra Nilpotent group
Mathematics Subject ClassificationPrimary 16S36 16U30 20M13 Secondary 16H99 20F18
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