Hilbert algebras of fractions
type: Item
instance of: scholarly article
title: Hilbert algebras of fractions
zbMATH Open document ID: 1194.03055
DOI: 10.1155/2009/589830
author: Christina-Theresia Dan
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2010-04-20T00:00:00Z
full work available at URL: https://eudml.org/doc/232990
review text: 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.
Mathematics Subject Classification ID: 03G25
Mathematics Subject Classification ID: 06F35
zbMATH DE Number: 5695216
Wikidata QID: Q58648470
MaRDI profile type: Publication
OpenAlex ID: W2019169283
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cites work: Q4954725
cites work: Q3708845
cites work: Q3705494
cites work: Q4950672
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cites work: Q4532043
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description: scientific article; zbMATH DE number 5695216