J. S. Yang, "A note on rings of continous functions", International Journal of Mathematics and Mathematical Sciences, vol. 1, Article ID 535619, 6 pages, 1978. https://doi.org/10.1155/S0161171278000113
A note on rings of continous functions
For a topological space , and a topological ring , let be the ring of all continuous functions from into under the pointwise multiplication. We show that the theorem there is a completely regular space associated with a given topological space such that is isomorphic to may be extended to a fairly large class of topologlcal rings, and that, in the study of algebraic structure of the ring , it is sufficient to study if is path connected.
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