The m-topology on Rings of Fractions of $C(X)$

An order is presented on the rings of fractions $S^{-1}C(X)$ 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 order, a topology is defined on $S^{-1}C(X)$ and for a special multiplicatively closed subset of $C(X)$, it is shown that $S^{-1}C(X)$ is a Hausdorff topological ring. .The connectedness of these rings endowed with the defined topology is discussed