Intermediate algebras between \(C^*(X)\) and \(C(X)\) as rings of fractions of \(C^*(X)\)

DOI10.1016/S0166-8641(96)00136-8zbMath0870.54017MaRDI QIDQ1356954

O. Diekmann

Publication date: 11 September 1997

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

maximal idealprime ideallocalizationlattice-ordered algebras\(z\)-idealrings of fractions

Mathematics Subject Classification ID

Algebraic properties of function spaces in general topology (54C40) Rings of fractions and localization for commutative rings (13B30)

Related Items (20)

A characterization of \(c\)-type subrings of \(C(X)\) of some kind ⋮ THE INTERMEDIATE VALUE THEOREM INf-RINGS ⋮ Unnamed Item ⋮ On z_r-ideals of C(X) ⋮ \(p\)-embeddings ⋮ Depth of C ( X )-modules ⋮ Real-boards of ideals in \(C(X)\) and their applications to characterize some spaces ⋮ Notes on a class of ideals in intermediate rings of continuous functions ⋮ Remarks on intermediate C-rings of C(X) ⋮ Finite homomorphisms on rings of continuous functions. ⋮ On the sum of \(z\)-ideals in subrings of \(C(X)\) ⋮ Ideal spaces ⋮ Unnamed Item ⋮ On the sum of \(z^\circ\)-ideals in two classes of subrings of \(C(X)\) ⋮ Regular sequences in the subrings of C(X) ⋮ Remarks on subrings ofC(X) of the formI+C*(X) ⋮ Some new results on functions inC(X) having their support on ideals of closed sets ⋮ Intermediate rings of complex-valued continuous functions ⋮ R-P-spaces and subrings of C(X) ⋮ \(A\)-compactness and minimal subalgebras of \(C(X)\)

Cites Work

• Unnamed Item
• Algebras of uniformly continuous functions
• Prime and maximal ideals in subrings of C(X)
• Localization in the rings of continuous functions
• Stone-Čech compactification of a product
• Extensions of zero-sets and of real-valued functions
• SOME PROPERTIES OF STRONG UNIFORMITIES
• On the structure of a class of archimedean lattice-ordered algebras
• Residue class fields of lattice-ordered algebras
• Maximal Ideals in Subalgebras of C(X)
• On a class of subalgebras of C(X) with applications to βX\X
• Couples spectraux et faisceaux associés. Applications aux anneaux de fonctions
• Inversion in a class of lattice-ordered algebras

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