$F$-Rationality of a Pure Subring of an $F$-Rational Ring
Commun. Korean Math. Soc. 1997 Vol. 12, No. 4, 851-854
Myung In Moon Seoul National University
Abstract : In this paper we will show that the pure subring $R$ of an $F$-rational ring $S$ is $F$-rational when $R$ is a one-dimensional ring, or $S$ is a Gorenstein ring. And we will give a condition that a pure subring of an $F$-rational ring is to be $F$-rational.