On maximal solid subspaces of intermediate algebras in \(C(X)\)
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Publication:6594795
DOI10.1007/S11117-024-01067-YMaRDI QIDQ6594795
Publication date: 28 August 2024
Published in: Positivity (Search for Journal in Brave)
lattice-ordered algebraring of continuous functionsintermediate algebrareal maximal idealmaximal solid subspaceuniformly closed \(\varPhi\)-algebra
Algebraic properties of function spaces in general topology (54C40) Real-valued functions in general topology (54C30) Ordered topological linear spaces, vector lattices (46A40)
Cites Work
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- The order topology for function lattices and realcompactness
- Groupes et anneaux reticules
- Intermediate algebras between \(C^*(X)\) and \(C(X)\) as rings of fractions of \(C^*(X)\)
- On the structure of a class of archimedean lattice-ordered algebras
- Residue class fields of lattice-ordered algebras
- Ideal Theory in f-Algebras
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