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On the least complete extension of complete subsemilattices - MaRDI portal

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On the least complete extension of complete subsemilattices (Q1966122)

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scientific article; zbMATH DE number 1407075
Language Label Description Also known as
English
On the least complete extension of complete subsemilattices
scientific article; zbMATH DE number 1407075

    Statements

    title
    On the least complete extension of complete subsemilattices (English)
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    author
    Roberto Giacobazzi
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    Francesco Ranzato
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    publication date
    27 February 2000
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    review text
    For a complete sublattice \(X\) of a complete lattice \(C\), the problem of the existence of the least complete meet subsemilattice of \(C\) having as least complete extension \(X\) is solved under the condition that \(C\) is dual algebraic completely distributive or \(C\) is distributive and \(X\) is finite.
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    reviewed by
    Ivan Chajda
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    zbMATH Keywords
    complete lattice
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    complete meet semilattice
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    completely distributive lattice
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    Identifiers

    Mathematics Subject Classification ID
    06B23
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    06A12
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    06D10
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    zbMATH DE Number
    1407075
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    OpenAlex ID
    W2021975286
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    DOI
    10.1007/S000120050053
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