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Elementarily non-equivalent infinite partition lattices - MaRDI portal

Elementarily non-equivalent infinite partition lattices (Q1058535)

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scientific article; zbMATH DE number 3900823
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English
Elementarily non-equivalent infinite partition lattices
scientific article; zbMATH DE number 3900823

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    Elementarily non-equivalent infinite partition lattices (English)
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    1985
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    The author proves that for two sets A, B, where A has cardinality \(\aleph_ n\), \(n\in {\mathbb{Z}}\) the partition lattices Part(A) and Part(B) are elementary equivalent iff A and B have the same cardinality.
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    partition lattices
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    elementary equivalent
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