scientific article; zbMATH DE number 7056075

zbMath1420.54027MaRDI QIDQ5742235

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Publication date: 17 May 2019

Full work available at URL: https://polipapers.upv.es/index.php/AGT/article/view/10731

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zbMATH Keywords

rings of continuous functionssoclecountably-isolated pointone-point Lindelöfficationsuper socle

Mathematics Subject Classification ID

Algebraic properties of function spaces in general topology (54C40) Scattered spaces (54G12) Real-valued functions in general topology (54C30) Injective and flat modules and ideals in commutative rings (13C11) Lattices over orders (16H20)

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Cites Work

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• On the functionally countable subalgebra of \(C(X)\)
• Contracting the socle in rings of continuous functions
• Algebraic properties of some compact spaces
• \(C(X)\) versus its functionally countable subalgebra
• Essential ideals in \(C(X)\)
• On the Intrinsic Topology and Some Related Ideals of C(X)
• On the locally functionally countable subalgebra of C(X) on locally functionally countable subalgebra of C(X)
• Intersection of essential ideals in $C(X)$
• On rings with a unique proper essential right ideal
• OnC(X) Modulo its Socle
• A note on discrete C-embedded subspaces
• The super socle of the ring of continuous functions
• C(X) vs. C(X) modulo its socle

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