Primitive elements in rings of continuous functions

DOI10.1016/j.topol.2009.10.009zbMath1190.54012OpenAlexW2015470527MaRDI QIDQ2268639

Jesús M. Domínguez, M. A. Mulero

Publication date: 8 March 2010

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

Full work available at URL: https://doi.org/10.1016/j.topol.2009.10.009

zbMATH Keywords

coveringrings of continuous functionsprincipal idealfinite extensionprimitive elementintegral extensionmonic polynomialtrivial covering

Mathematics Subject Classification ID

Algebraic properties of function spaces in general topology (54C40) Integral dependence in commutative rings; going up, going down (13B21) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Cites Work

• Finite homomorphisms on rings of continuous functions.
• Stone-Čech compactification of a product
• On covering spaces and Galois extensions
• \(\sqrt z\)-ideals and \(\sqrt {z^{^\circ}}\)-ideals in \(C(X)\)
• Minimal Compactifications and their Associated Function Spaces
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