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


  • Papiya Bhattacharjee Penn State Erie
  • Michelle L. Knox Midwestern State University
  • Warren Wm. McGovern Florida Atlantic University



ring of continuous functions, ring of quotients, zero-dimensional space.


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.


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How to Cite

P. Bhattacharjee, M. L. Knox, and W. W. McGovern, “The classical ring of quotients of $C_c(X)$”, Appl. Gen. Topol., vol. 15, no. 2, pp. 147–154, Jul. 2014.