Lattice uniformities and modular functions on orthomodular lattices (Q1904387)
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scientific article; zbMATH DE number 828182
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lattice uniformities and modular functions on orthomodular lattices |
scientific article; zbMATH DE number 828182 |
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Lattice uniformities and modular functions on orthomodular lattices (English)
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1 February 1996
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Traynor's decomposition for group-valued set functions is generalized to exhaustive modular functions. It is shown that the lattice of exhaustive (lattice-) uniformities on an orthomodular lattice \(L\) is a complete Boolean algebra isomorphic to the centre of a quotient completion of \(L\).
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lattice of exhaustive uniformities
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decomposition
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exhaustive modular functions
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orthomodular lattice
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complete Boolean algebra
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centre
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quotient completion
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0.9180497
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0.91582775
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