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Elasticities of Krull monoids with infinite cyclic class group (Q2074401)

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scientific article; zbMATH DE number 7471600
Language Label Description Also known as
English
Elasticities of Krull monoids with infinite cyclic class group
scientific article; zbMATH DE number 7471600

    Statements

    title
    Elasticities of Krull monoids with infinite cyclic class group (English)
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    author
    Xiangneng Zeng
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    Guixin Deng
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    publication date
    9 February 2022
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    review text
    Let \(H\) be a Krull monoid with class group \(G\), \(G_p\subset G\) the set of classes which contains prime divisors and \(\rho(H)\) its elasticity. In this paper, the authors study the case \(G=\mathbb{Z}\) and they give characterizations of the elasticity of \(G_p\) in terms of the free group generated by its positive elements if \(\sup(G_p)=+\infty\). If \(G_p\) is bounded, they give an upper bound for \(\rho(G_p)\).
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    zbMATH Keywords
    block monoids
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    elasticity
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    factorization
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    Krull monoids
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    Identifiers

    Mathematics Subject Classification ID
    13A05
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    13F05
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    20M13
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    zbMATH DE Number
    7471600
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    OpenAlex ID
    W4206606602
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