Hilbert algebras of fractions
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.
scientific article; zbMATH DE number 5695216
scientific article