The classical ring of quotients of Cc(X)

• Bhattacharjee, Papiya ^[3] ; Knox, Michelle L. ^[1] ; McGovern, Warren Wm. ^[2]
  1. [1] Midwestern State University

     Midwestern State University

     Estados Unidos

     
  2. [2] Florida Atlantic University

     Florida Atlantic University

     Estados Unidos

     
  3. [3] Penn State Erie

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• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 15, Nº. 2, 2014, págs. 147-154
• Idioma: inglés
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• Resumen

  • 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.