Extension of weakly and strongly F-regular rings by flat maps

Details Extension of weakly and strongly F-regular rings by flat maps Extension of weakly and strongly F-regular rings by flat maps

2002-09-19

arxiv.org/abs/math/0209251v1

J. Algebra 241 (2001), no. 2, 799--807

Mathematics

Commutative Algebra

Scientific paper

Let (R,m) -> (S,n) be a flat local homomorphism of excellent local rings. We
investigate the conditions under which the weak or strong F-regularity of R
passes to S. We show that is suffices that the closed fiber S/mS be Gorenstein
and either F-finite (if R and S have a common test element), or F-rational
(otherwise).

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