Commutator-finite orthomodular lattices (Q801951)
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scientific article; zbMATH DE number 3880774
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Commutator-finite orthomodular lattices |
scientific article; zbMATH DE number 3880774 |
Statements
Commutator-finite orthomodular lattices (English)
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1985
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The authors investigate the class C of orthomodular lattices which have only finitely many commutators. They prove the following results: The class C contains all block-finite OML's. Every irreducible element of C is simple. Every element of C is a direct product of a Boolean algebra and finitely many simple OML's. The irreducible elements of C which are modular have height at most two.
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orthomodular lattices
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commutators
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block-finite OML's
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irreducible element
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