Homomorphisms from \(C(X,\mathbb {Z})\) into a ring of continuous functions

DOI10.1007/s00012-018-0509-9zbMath1398.54033OpenAlexW2799581042MaRDI QIDQ1652866

A. R. Olfati

Publication date: 16 July 2018

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00012-018-0509-9

zbMATH Keywords

zero-dimensional spacevon Neumann regular ring\(P\)-spaceBanaschewski compactificationring of continuous functions\(\aleph_0\)-self-injective ring\(\mathbb{N}\)-compact space\(I\)-ring

Mathematics Subject Classification ID

Continuous maps (54C05) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Algebraic properties of function spaces in general topology (54C40) Real-valued functions in general topology (54C30) Topological fields, rings, etc. (topological aspects) (54H13)

Related Items (3)

On ideals of rings of continuous integer-valued functions on a frame ⋮ Strong connectedness modulo an ideal ⋮ p-semisimple modules and type submodules

Cites Work

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• On the functionally countable subalgebra of \(C(X)\)
• Fraction-dense algebras and spaces
• A Nagata-like theorem for certain function spaces
• \(C(X,Z)\) revisited
• Algebraic properties of some compact spaces
• The maximal ring of quotient \(f\)-ring
• Rings of continuous functions with values in a topological division ring
• Extending continuous functions on zero-dimensional spaces
• On the Intrinsic Topology and Some Related Ideals of C(X)
• Rings whose overrings are integrally closed in their complete quotient ring.
• On a question of matlis
• OnC(X) Modulo its Socle
• Rings of Continuous Integer-Valued Functions and Nonstandard Arithmetic
• Integer-valued continuous functions
• Rings of Integer-Valued Continuous Functions

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