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Stable modular lattices of small height (Q1358055)

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scientific article; zbMATH DE number 1023957
Language Label Description Also known as
English
Stable modular lattices of small height
scientific article; zbMATH DE number 1023957

    Statements

    title
    Stable modular lattices of small height (English)
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    author
    K. M. Shegirov
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    publication date
    18 June 1997
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    review text
    Modular lattices of dimension (=height=length) \(n\leq 4\) are well understood [cf. \textit{B. Jónsson}, Math. Scand. 7, 133-145 (1959; Zbl 0095.34602)]. From this the author derives that the ones not containing a projective plane as an (interval) sublattice are stable in the model-theoretic sense. His notion of `height' is `dimension' \(+1\).
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    zbMATH Keywords
    small height
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    stability
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    modular lattices
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    cites work
    Q4693079
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    Identifiers

    DOI
    10.1007/BF02104863
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    zbMATH DE Number
    1023957
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    OpenAlex ID
    W2091760850
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