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Maeda-type decomposition of CJ-generated algebraic lattices - MaRDI portal

Maeda-type decomposition of CJ-generated algebraic lattices (Q699939)

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scientific article; zbMATH DE number 1808008
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Maeda-type decomposition of CJ-generated algebraic lattices
scientific article; zbMATH DE number 1808008

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    Maeda-type decomposition of CJ-generated algebraic lattices (English)
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    25 September 2002
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    The author proves necessary and sufficient conditions for the decomposition of an arbitrary CJ-generated algebraic lattice into a direct product of subdirectly irreducible lattices. He generalizes earlier results due to F. Maeda, T. Katriňák and the author. He also obtains structure theorems for two classes of CJ-generated algebraic lattices.
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    completely join-irreducible elements
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    standard elements
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    Stone lattice
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    decomposition
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    CJ-generated algebraic lattice
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    direct product
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    subdirectly irreducible lattices
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    structure theorems
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