On the localization theorem for F-pure rings

Details On the localization theorem for F-pure rings On the localization theorem for F-pure rings

2007-10-19

arxiv.org/abs/0710.3782v3

Mathematics

Commutative Algebra

10 pages, published in Journal of pure and Applied Algebra

Scientific paper

We solve Grothendieck's localization problem for certain class of rings
arising from the tight closure theory. The idea of the proof depends heavily on
the study of the relative version of the Frobenius map.

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