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About unital and non-unital duo rings (Q6537365)

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scientific article; zbMATH DE number 7847099
Language Label Description Also known as
English
About unital and non-unital duo rings
scientific article; zbMATH DE number 7847099

    Statements

    title
    About unital and non-unital duo rings (English)
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    author
    Mart Abel
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    publication date
    14 May 2024
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    review text
    A ring is called (left) duo if every (left) one side ideal is a bilateral ideal. In the present paper the authors present several properties of these rings: a general characterization in Theorem 1, and the fact that all idempotents of a duo ring are central in Proposition 1.
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    zbMATH Keywords
    duo rings
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    left duo rings
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    right duo rings
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    principal left ideal
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    principal right ideal
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    principal ideal
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    idempotent
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    centre
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    prime ideal
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    completely prime ideal
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    Identifiers

    Mathematics Subject Classification ID
    16P20
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    16U80
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    16P10
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    zbMATH DE Number
    7847099
    0 references
     
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