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Properties of prealgebraic lattices investigated by means of formal concept analysis (Q1200951)

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scientific article; zbMATH DE number 95937
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English
Properties of prealgebraic lattices investigated by means of formal concept analysis
scientific article; zbMATH DE number 95937

    Statements

    Properties of prealgebraic lattices investigated by means of formal concept analysis (English)
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    16 January 1993
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    Connections between certain properties of complete lattices --- like the existence of join-bases, modularity and weakenings of it as well as various properties of lattices generated by completely join-irreducible elements --- are investgated by methods of formal concept analysis. By the help of attribute exploration, known results are systematized and some implications between those properties are proved (or disproved), but a few questions remain open. So the above-mentioned connections are reflected by the hierarchy of concepts, i.e. by diagrams of concept lattices.
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    prealgebraic lattices
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    semimodularity
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    exchange properties
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    strongness
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    join-symmetry
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    join-bases
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    modularity
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    lattices generated by completely join-irreducible elements
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    formal concept analysis
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    concept lattices
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    Identifiers