Hilbert algebras of fractions (Q963513)
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scientific article; zbMATH DE number 5695216
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hilbert algebras of fractions |
scientific article; zbMATH DE number 5695216 |
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Hilbert algebras of fractions (English)
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20 April 2010
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Summary: Let \(A\) be a bounded Hilbert algebra and \(S\) a \(\vee\)-closed subset of \(A\). The Hilbert algebra of fractions, \(A_{S}\), is studied regarding maximal and irreducible deductive systems. As important results, we can mention a necessary and sufficient condition for a Hilbert algebra of fractions to be local and the characterization of this kind of algebras as inductive limits of some particular directed systems.
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0.8900374
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0.88973457
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