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

Papiya Bhattacharjee, Michelle L. Knox, Warren Wm. McGovern


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.


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

Subject classification

54C40; 13B30.

Full Text:



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1. On c-realcompact spaces
O.A.S. Karamzadeh, Z. Keshtkar
Quaestiones Mathematicae  vol: 41  issue: 8  first page: 1135  year: 2018  
doi: 10.2989/16073606.2018.1441919

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Universitat Politècnica de València

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