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Periodic rings with finitely generated underlying group. - MaRDI portal

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Periodic rings with finitely generated underlying group. (Q1777650)

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scientific article; zbMATH DE number 2171557
Language Label Description Also known as
English
Periodic rings with finitely generated underlying group.
scientific article; zbMATH DE number 2171557

    Statements

    title
    Periodic rings with finitely generated underlying group. (English)
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    publication date
    25 May 2005
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    review text
    Summary: We study periodic rings that are finitely generated as groups. We prove several structure results. We classify periodic rings that are free of rank at most 2, and also periodic rings \(R\) such that \(R\) is finitely generated as a group and \(R/t(R)\simeq\mathbb Z\). In this way, we construct new classes of periodic rings. We also ask a question concerning the connection to periodic rings that are finitely generated as rings.
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    zbMATH Keywords
    periodic rings
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    finitely generated additive groups
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    finitely generated rings
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    Identifiers

    Mathematics Subject Classification ID
    16U80
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    16D70
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    16S15
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    16P10
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    zbMATH DE Number
    2171557
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    OpenAlex ID
    W2086840593
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