Affiliation:
1. Petroleum University of Technology, Department of Science, Ahvaz, Iran
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.
Publisher
National Library of Serbia