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A note on primitive idempotent elements of a total matric algebra. - MaRDI portal

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A note on primitive idempotent elements of a total matric algebra. (Q571969)

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scientific article; zbMATH DE number 2555665
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English
A note on primitive idempotent elements of a total matric algebra.
scientific article; zbMATH DE number 2555665

    Statements

    title
    A note on primitive idempotent elements of a total matric algebra. (English)
    0 references
    author
    F. S. Nowlan
    0 references
    publication date
    1931
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    review text
    Für eine vollständige Matrix-Algebra über einem beliebigen Körper werden notwendige und hinreichende Bedingungen dafür angegeben, daß (1) ein Element ein Idempotent, (2) ein Element ein primitives Idempotent, (3) ein System von \(n\) Elementen (falls \(n^2\) die Ordnung der Algebra ist) ein ``supplementäres'' System von primitiven Idempotenten ist. Alle diese Bedingungen sind aus der bekannten Multiplikationstabelle für eine solche Algebra unmittelbar abzulesen.
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    Identifiers

    zbMATH DE Number
    2555665
    0 references
     
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