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

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

doi:10.4995/agt.2014.3181

Authors

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

DOI:

https://doi.org/10.4995/agt.2014.3181

Keywords:

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

Abstract

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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