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The Słupecki criterion by duality (Q2773026)

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scientific article; zbMATH DE number 1709155
Language Label Description Also known as
English
The Słupecki criterion by duality
scientific article; zbMATH DE number 1709155

    Statements

    title
    The Słupecki criterion by duality (English)
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    author
    Eszter K. Horváth
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    publication date
    24 March 2002
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    zbMATH Keywords
    primal algebra
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    Galois connection
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    Słupecki criterion
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    primality
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    functional completeness
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    operation-relation duality
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    diagonal relations
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    review text
    The author presents a method for proving primality and functional completeness theorems that makes use of the operation-relation duality. She investigates relations generated by the two-element subsets of \(A^k\) only and shows how the method applies for proving Słupecki's classical theorem by generating diagonal relations from each pair of \(k\)-tuples.
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    Identifiers

    Mathematics Subject Classification ID
    08A02
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    08A40
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    08A62
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    06A15
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    zbMATH DE Number
    1709155
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    OpenAlex ID
    W2320777127
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    DOI
    10.7151/DMGAA.1022
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