On Isomorphisms Between Ideals in Rings of Continuous Functions

DOI10.2307/1996015zbMath0228.46019OpenAlexW4247692874MaRDI QIDQ5635859

David Rudd

Publication date: 1971

Full work available at URL: https://doi.org/10.2307/1996015

Mathematics Subject Classification ID

Ideals, maximal ideals, boundaries (46J20) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items

ON MAXIMAL IDEALS OF R∞L, Constructing the Banaschewski compactification through the functionally countable subalgebra of $C(X)$, Unnamed Item, Depth of C ( X )-modules, On Structure Spaces of Ideals In Rings of Continuous Functions, A note on zero-sets in the Stone-Čech compactification, Unnamed Item, Specification of topological spaces by algebraic systems of continuous functions, On subrings of the form \(I+\mathbb{R}\) of \(C(X)\), On the cardinality of non-isomorphic intermediate rings of \(C(X)\), On the sum of \(z^\circ\)-ideals in two classes of subrings of \(C(X)\), Covering maximal ideals with minimal primes, On the maximal regular ideal of pointfree function rings, and more, Remarks on subrings ofC(X) of the formI+C*(X), R-P-spaces and subrings of C(X)

Cites Work

• Unnamed Item
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• Closed l-ideals in a class of lattice-ordered algebras
• On bicompact spaces
• The space of prime ideals of a ring
• Ideals in rings of continuous functions
• Brown's Method of Extending Fixed Point Theorems
• Rings of Real-Valued Continuous Functions. I
• Prime Ideals in General Rings
• Automorphisms of the Field of Complex Numbers
• On a Theorem of Gelfand and Kolmogoroff Concerning Maximal Ideals in Rings of Continuous Functions