Module of all functions over the ring of continuous functions

DOI10.1007/BF01140126zbMath0457.46023OpenAlexW2046091683MaRDI QIDQ1150792

E. M. Vechtomov

Publication date: 1980

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01140126

zbMATH Keywords

projective moduletopological ringsrings of continuous functionsinjective modulesregular ringsmodule of all functions

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Fuzzy topology (54A40) Rings and algebras of continuous, differentiable or analytic functions (46E25) Representation theory of associative rings and algebras (16Gxx)

Related Items (3)

Rings of continuous functions with values in a topological division ring ⋮ Specification of topological spaces by algebraic systems of continuous functions ⋮ Distributive rings of continuous functions and F-spaces

Cites Work

• On the Injectivity and Flatness of Certain Cyclic Modules
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