Pasting and semimodular lattices (Q810070)

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scientific article; zbMATH DE number 4212118
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Pasting and semimodular lattices
scientific article; zbMATH DE number 4212118

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    Pasting and semimodular lattices (English)
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    1990
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    \textit{E. Fried} and the reviewer [Proc. Am. Math. Soc. 106, 885-890 (1989; Zbl 0678.06005)] proved that the variety of all modular lattices is closed under the pasting of finite lattices. The present note generalizes this: The class of all semimodular lattices is closed under the pasting of finite lattices. The proof is very elegant; it is more general and much simpler than the original proof.
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    semimodular lattices
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    pasting of finite lattices
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