Symmetric closure operators on orthoposets (Q2837210)
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scientific article; zbMATH DE number 6186380
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symmetric closure operators on orthoposets |
scientific article; zbMATH DE number 6186380 |
Statements
10 July 2013
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closure operator
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symmetric
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orthoposet
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range
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orthocomplementation
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Boolean algebra
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quantifier
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ortholattice
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orthomodular lattice
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orthogonal subset
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Symmetric closure operators on orthoposets (English)
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A symmetric closure operator on an orthoposet is a closure operator whose range is closed under orthocomplementation. On Boolean algebras this concept coincides with that of a quantifier. Symmetric closure operators and quantifiers on ortholattices and orthomodular lattices are considered. To maximal orthogonal subsets of orthoposets containing certain joins, symmetric closure operators are assigned. Conditions for commuting of two such operators are given.NEWLINENEWLINEFor the entire collection see [Zbl 1234.08003].
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