Abstract
An order is presented on the rings of fractions S-1C(X) of C(X), where S is a multiplicatively closed subset of C(X), the ring of all continuous real-valued functions on a Tychonoff space X. Using this, a topology is defined on S-1C(X) and for a family of particular multiplicatively closed subsets of C(X) namely m:c: z-subsets, it is shown that S-1C(X) endowed with this topology is a Hausdorff topological ring. Finally, the connectedness of S-1C(X) via topological properties of X is investigated.
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