On some duality for orthoposets (Q1266013)
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scientific article; zbMATH DE number 1196978
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some duality for orthoposets |
scientific article; zbMATH DE number 1196978 |
Statements
On some duality for orthoposets (English)
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3 January 1999
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It is shown that the variety of \(R\)-generated von Neumann semigroups is equivalent to the category of orthoposets with dense morphisms and that \(R\)-generated von Neumann semilattices correspond to ortholattices. The definitions of a von Neumann semigroup and a von Neumann semilattice are too technical to be stated here.
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von Neumann semigroup
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\(R\)-generated
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category
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orthoposet
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dense morphism
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functor
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von Neumann semilattice
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ortholattice
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