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Irreducible orthomodular lattices which are simple - MaRDI portal

Irreducible orthomodular lattices which are simple (Q1208075)

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scientific article; zbMATH DE number 165811
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Irreducible orthomodular lattices which are simple
scientific article; zbMATH DE number 165811

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    Irreducible orthomodular lattices which are simple (English)
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    16 May 1993
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    It is shown that an orthomodular lattice \(L\), in a variety generated by orthomodular lattices of height at most \(n\in\mathbb{N}\), is directly irreducible iff \(L\) is simple. The assumption cannot be weakened to generators of finite height.
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    orthomodular lattice
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    directly irreducible
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    simple
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