ξ-closed subsets and rings of fractions of C(X)

Document Type : Original Paper

Author

Department Science, Petroleum University of Technology, Ahvaz, Iran

Abstract

A kind of multiplicative closed subset of C(X) namely ξ-closed subset is introduced. Relating to each ξ-multiplicative closed subset such as S of C(X) a filter F_S of subsets of X is presented and it is shown that the rings S^(-1) C(X) and the direct limits of continuous fractions on members of F_S are isomorphic.

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