University of Jiroft | hamidreza dorbidi

Research

Title	A result on the integral extension of rings of continuous functions
Type	Presentation
Keywords	Ring of continuous functions, Integral extension.
Researchers	hamidreza dorbidi

Abstract

Let \pi : X ! Y be a continuous map between topological spaces. In this paper we show that if C(X) is integral over \pi^*(C(Y )) then C(X) = \pi^*(C(Y )) + P for each prime ideal P of C(X). In particular C(Y)/P^c=C(X)/P,