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Non-Arguesian configurations and gluings of modular lattices - MaRDI portal

Non-Arguesian configurations and gluings of modular lattices (Q1121929)

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scientific article; zbMATH DE number 4105030
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Non-Arguesian configurations and gluings of modular lattices
scientific article; zbMATH DE number 4105030

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    Non-Arguesian configurations and gluings of modular lattices (English)
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    1989
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    This is the third in a series of papers investigating the structural implications of the Arguesian law for modular lattices [see also the authors' papers in Order 2, 335-350 (1986; Zbl 0585.06003) and Acta Sci. Math. 51, No.3/4, 309-318 (1987; Zbl 0656.06010)]. The first two theorems concern situations in which, for a lattice glued from a filter and an ideal which are both Arguesian, one can locate any non-Arguesian configuration - and so get sufficient conditions for the whole lattice to be Arguesian. The second part of the paper relates the types of the non- Arguesian configurations to the structure of the skeleton of the lattice.
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    Arguesian lattice
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    Arguesian law
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    modular lattices
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    non-Arguesian configuration
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    skeleton
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