A note on rings of continous functions

J. S. Yang

International Journal of Mathematics and Mathematical Sciences, 1978, vol. 1, 1-6

Abstract:

For a topological space X , and a topological ring A , let C ( X , A ) be the ring of all continuous functions from X into A under the pointwise multiplication. We show that the theorem there is a completely regular space Y associated with a given topological space X such that C ( Y , R ) is isomorphic to C ( X , R ) may be extended to a fairly large class of topologlcal rings, and that, in the study of algebraic structure of the ring C ( X , A ) , it is sufficient to study C ( X , R ) if A is path connected.

Date: 1978
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:535619

DOI: 10.1155/S0161171278000113

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