The classical ring of quotients of $C_c(X)$

[EN] We construct the classical ring of quotients of the algebra of continuous real-valued functions with countable range. Our construction is a slight modification of the construction given in [M. Ghadermazi, O.A.S. Karamzadeh, and M. Namdari, On the functionally countable subalgebra of C(X), Rend....

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Detalhes bibliográficos
Autores: Bhattacharjee, Papiya, Knox, Michelle L., McGovern, Warren Wm.
Tipo de documento: artigo
Data de publicação:2014
País:España
Recursos:Universitat Politècnica de València (UPV)
Repositório:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglês
OAI Identifier:oai:riunet.upv.es:10251/43614
Acesso em linha:https://riunet.upv.es/handle/10251/43614
Access Level:Acceso aberto
Palavra-chave:Ring of continuous functions
Ring of quotients
Zero-dimensional space
Descrição
Resumo:[EN] We construct the classical ring of quotients of the algebra of continuous real-valued functions with countable range. Our construction is a slight modification of the construction given in [M. Ghadermazi, O.A.S. Karamzadeh, and M. Namdari, On the functionally countable subalgebra of C(X), Rend. Sem. Mat. Univ. Padova, to appear]. Dowker's example shows that the two constructions can be different.